Papers

1. Publications

*2014

Virginie Bonnaillie-Noël, Benedetta Noris, Manon Nys, Susanna Terracini, On the eigenvalues of Aharonov–Bohm operators with varying poles, Analysis and PDE, Vol. 7/Issue 6, Mathematical Sciences Publishers, 01/01/14, pp. 1365-1395, DOI 10.2140/apde.2014.7.1365 https://arxiv.org/abs/1310.121​1

 Alberto Farina, Nicola Soave, Monotonicity and 1-Dimensional Symmetry for Solutions of an Elliptic System Arising in Bose–Einstein Condensation, Archive for Rational Mechanics and Analysis, Vol. 213/Issue 1, Springer New York, 01/07/14, pp. 287-326, DOI 10.1007/s00205-014-0724-2   https://arxiv.org/abs/1303.126​5

Vivina L. Barutello, Riccardo D. Jadanza, Alessandro Portaluri, Linear instability of relative equilibria for n-body problems in the plane, Journal of Differential Equations, Vol. 257/Issue 6, Academic Press Inc., 01/09/14, pp. 1773-1813, DOI 10.1016/j.jde.2014.05.01 http://arxiv.org/pdf/1310.8318​v3.pdf

*2015

Dorin Bucur, Dario Mazzoleni, A Surgery Result for the Spectrum of the Dirichlet Laplacian, SIAM Journal on Mathematical Analysis, Vol. 47/Issue 6, Society for Industrial and Applied Mathematics Publications, 01/01/15, pp. 4451-4466, DOI http://dx.doi.org/10.1137/140992448 https://arxiv.org/abs/1410.517​9

Alessandro Portaluri, Nils Waterstraat, A Morse–Smale index theorem for indefinite elliptic systems and bifurcation, Journal of Differential Equations, Vol. 258/Issue 5, Academic Press Inc., 01/03/15, pp. 1715-1748, DOI 10.1016/j.jde.2014.11.010 http://arxiv.org/pdf/1408.1419​.pdf

Nicola Soave, Susanna Terracini, Liouville theorems and 1-dimensional symmetry for solutions of an elliptic system modelling phase separation, Advances in Mathematics, Vol. 279, Academic Press Inc., 01/07/15, pp. 29-66, DOI 10.1016/j.aim.2015.03.015 http://arxiv.org/abs/1404.7288

Vivina L. Barutello, Alberto Boscaggin, Gianmaria Verzini, Positive solutions with a complex behavior for superlinear indefinite ODEs on the real line, Journal of Differential Equations, Vol. 259/Issue 7, Academic Press Inc., 01/10/15, pp. 3448-3489, DOI 10.1016/j.jde.2015.04.026            https://arxiv.org/abs/1407.133​4

Benedetta Noris, Manon Nys, Susanna Terracini, On the Aharonov–Bohm Operators with Varying Poles: The Boundary Behavior of Eigenvalues, Communications in Mathematical Physics, Vol. 339/Issue 3, Springer New York, 01/11/15, pp. 1101-1146, DOI 10.1007/s00220-015-2423-8            http://arxiv.org/abs/1411.5244

Nicola Soave, Alessandro Zilio, Uniform Bounds for Strongly Competing Systems: The Optimal Lipschitz Case, Archive for Rational Mechanics and Analysis, Vol. 218/Issue 2, Springer New York, 01/11/15, pp. 647-697, DOI 10.1007/s00205-015-0867-9 http://arxiv.org/abs/1407.6674

Laura Abatangelo, Veronica Felli, Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles, Calculus of Variations and Partial Differential Equations, Vol. 54/Issue 4, Springer New York, 01/12/15, pp. 3857-3903, DOI 10.1007/s00526-015-0924-0 http://arxiv.org/abs/1504.0025​2

Alberto Farina, Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems, Discrete and Continuous Dynamical Systems, Vol. 35/Issue 12, Southwest Missouri State University, 01/12/15, pp. 5869-5877, DOI 10.3934/dcds.2015.35.5869 https://arxiv.org/abs/1307.694​9

Gianmaria Verzini, Hugo Tavares, Benedetta Noris, Stable solitary waves with prescribed $L^2$-mass for the cubic Schrödinger system with trapping potentials, Discrete and Continuous Dynamical Systems, Vol. 35/Issue 12, Southwest Missouri State University, 01/12/15, pp. 6085-6112, DOI 10.3934/dcds.2015.35.6085 http://arxiv.org/abs/1403.4695

Paolo Caldiroli, Isovolumetric and Isoperimetric Problems for a Class of Capillarity Functionals, Archive for Rational Mechanics and Analysis, Vol. 218/Issue 3  Springer New York, 01/12/15, pp. 1331-1361, DOI 10.1007/s00205-015-0881-y          https://arxiv.org/abs/1411.754​1

*2016

Vivina Barutello, Riccardo D. Jadanza, Alessandro Portaluri, Morse Index and Linear Stability of the Lagrangian Circular Orbit in a Three-Body-Type Problem Via Index Theory, Archive for Rational Mechanics and Analysis, Vol. 219/Issue 1, Springer New York, 01/01/16, pp. 387-444, DOI 10.1007/s00205-015-0898-2      http://arxiv.org/pdf/1406.3519​.pdf

Nicola Soave, Alessandro Zilio, Multidimensional entire solutions for an elliptic system modelling phase separation, Analysis and PDE, Vol. 9/Issue 5, Mathematical Sciences Publishers, 01/01/16, pp. 1019-1041, DOI 10.2140/apde.2016.9.1019 http://arxiv.org/abs/1507.0450​8

Susanna Terracini, Gianmaria Verzini, Alessandro Zilio, Uniform Hölder bounds for strongly competing systems involving the square root of the laplacian, Journal of the European Mathematical Society, Vol. 18/Issue 12, European Mathematical Society Publishing House, 01/01/16, pp. 2865-2924, DOI 10.4171/JEMS/656      http://arxiv.org/abs/1211.6087

Laura Abatangelo, Veronica Felli, On the Leading Term of the Eigenvalue Variation for Aharonov–Bohm Operators with a Moving Pole, SIAM Journal on Mathematical Analysis, Vol. 48/Issue 4, Society for Industrial and Applied Mathematics Publications, 01/01/16 , pp. 2843-2868, DOI 10.1137/15M1044898 http://arxiv.org/abs/1505.0528​0

Miguel Ramos, Hugo Tavares, Susanna Terracini, Extremality Conditions and Regularity of Solutions to Optimal Partition Problems Involving Laplacian Eigenvalues, Archive for Rational Mechanics and Analysis, Vol. 220/Issue 1, Springer New York, 01/04/16, pp. 363-443, DOI 10.1007/s00205-015-0934-2      http://arxiv.org/abs/1403.6313

Nicola Soave, Alessandro Zilio, On phase separation in systems of coupled elliptic equations: Asymptotic analysis and geometric aspects, Annales de l’Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Online first, Elsevier Masson SAS, 01/05/16, DOI 10.1016/j.anihpc.2016.04.001     http://arxiv.org/abs/1506.0777​9

Marco Cirant, Gianmaria Verzini, Bifurcation and segregation in quadratic two-populations Mean Field Games systems, ESAIM – Control, Optimisation and Calculus of Variations, Online first EDP Sciences, 21/05/16, DOI 10.1051/cocv/2016028 http://arxiv.org/abs/1511.0934​3

Nicola Soave, Hugo Tavares, Susanna Terracini, Alessandro Zilio, Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial grouping,         Nonlinear Analysis, Theory, Methods and Applications, Vol. 138, Elsevier Limited, 01/06/16, pp. 388-427, DOI 10.1016/j.na.2015.10.023 http://arxiv.org/abs/1506.0080​0

Denis Bonheure, Massimo Grossi, Benedetta Noris, Susanna Terracini, Multi-layer radial solutions for a supercritical Neumann problem, Journal of Differential Equations, Vol. 261/Issue 1, Academic Press Inc., 01/07/16, pp. 455-504, DOI 10.1016/j.jde.2016.03.016 http://arxiv.org/abs/1508.0161​9

Nicola Soave, Hugo Tavares, New existence and symmetry results for least energy positive solutions of Schrödinger systems with mixed competition and cooperation terms, Journal of Differential Equations, Vol. 261/Issue 1, Academic Press Inc., 01/07/16, pp. 505-537, DOI 10.1016/j.jde.2016.03.015            http://arxiv.org/abs/1412.4336

Alberto Boscaggin, Rafael Ortega, Periodic solutions of a perturbed Kepler problem in the plane: From existence to stability, Journal of Differential Equations, Vol. 261/Issue 4, Academic Press Inc., 01/08/16, pp. 2528-2551, DOI 10.1016/j.jde.2016.05.004 http://www.ugr.es/~ecuadif/fil​es/BoscagginOrtega2.pdf

Denis Bonheure, Silvia Cingolani, Manon Nys, Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field, Calculus of Variations and Partial Differential Equations, Vol. 55/Issue 4, Springer New York, 01/08/16, pp. 12055, DOI 10.1007/s00526-016-1013-8          http://arxiv.org/abs/1509.0746​4

Alberto Boscaggin, Rafael Ortega, Periodic solutions of a perturbed Kepler problem in the plane: From existence to stability, Journal of Differential Equations, Vol. 261/Issue 4, Academic Press Inc., 01/08/16, pp. 2528-2551  10.1016/j.jde.2016.05.004 https://arxiv.org/abs/1703.078​57

Virginie Bonnaillie-Noël, Corentin Léna, Spectral Minimal Partitions for a Family of Tori Experimental Mathematics, A K Peters, 02/09/16, pp. 42005, DOI 10.1080/10586458.2016.1183154       https://arxiv.org/abs/1503.045​45

Corentin Léna, Courant-sharp eigenvalues of the three-dimensional square torus, Proceedings of the American Mathematical Society, Vol. 144/Issue 9, American Mathematical Society, 01/09/16, pp. 3949-3958, DOI 10.1090/proc/13148 https://arxiv.org/abs/1511.041​99

Thomas Bartsch, Louis Jeanjean, Nicola Soave, Normalized solutions for a system of coupled cubic Schrödinger equations on R 3, Journal des Mathematiques Pures et Appliquees, Vol. 106/Issue 4, Elsevier Masson SAS, 01/10/16, pp. 583-614, DOI 10.1016/j.matpur.2016.03.004 http://linkinghub.elsevier.com/retrieve/pii/S002178241630004​6

Paolo Caldiroli, Alessandro Iacopetti, Existence of stable H-surfaces in cones and their representation as radial graphs, Calculus of Variations and Partial Differential Equations, Vol. 55/Issue 6, Springer New York, 01/12/16, p.1, DOI 10.1007/s00526-016-1074-8 https://arxiv.org/abs/1512.037​89

*2017

Laura Abatangelo, Veronica Felli, Corentin Léna, On Aharonov–Bohm Operators with Two Colliding Poles, Advanced Nonlinear Studies, Vol. 17/Issue 2, Advanced Nonlinear Studies, 01/01/17, pp. 283-296, DOI 10.1515/ans-2017-0004         https://arxiv.org/abs/1612.042​36

Denis Bonheure, Isabel Coelho, Manon Nys, Heteroclinic solutions of singular quasilinear bistable equations, Nonlinear Differential Equations and Applications, Vol. 24/Issue 1, Birkhauser Verlag Basel, 01/02/17, p. 1, DOI 10.1007/s00030-016-0418-6 https://arxiv.org/abs/1603.056​32

Alberto Boscaggin, Walter Dambrosio, Susanna Terracini, Scattering Parabolic Solutions for the Spatial N-Centre Problem, Archive for Rational Mechanics and Analysis, Vol. 223/Issue 3, Springer New York, 01/03/17, pp. 1269-1306, DOI 10.1007/s00205-016-1057-0 https://arxiv.org/abs/1602.028​97

Alessandro Portaluri, Nils Waterstraat, A K-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems, Journal of Fixed Point Theory and Applications, Vol. 19/Issue 1, Birkhauser Verlag Basel, 01/03/17, pp. 833-851, DOI 10.1007/s11784-016-0378-9   https://arxiv.org/abs/1605.084​02

Alessandro Portaluri, Nils Waterstraat, A K-theoretical invariant and bifurcation for homoclinics of Hamiltonian systems, Journal of Fixed Point Theory and Applications, Vol. 19/Issue 1, Birkhauser Verlag Basel, 01/03/17, pp. 833-851, DOI 10.1007/s11784-016-0378-9 http://link.springer.com/10.10​07/s11784-016-0378-9

Dario Mazzoleni, Davide Zucco, Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets, ESAIM – Control, Optimisation and Calculus of Variations  -EDP Sciences, 29/03/17, DOI 10.1051/cocv/2016017          https://arxiv.org/abs/1512.009​93

D.L. Ferrario, Central Configurations and Mutual Differences, Symmetry, Integrability and Geometry – Methods and Applications (SIGMA), Issue 021, Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine, 31/03/17, pp. 44562, DOI 10.3842/SIGMA.2017.021 https://arxiv.org/abs/1608.004​80

Dario Mazzoleni, Susanna Terracini, Bozhidar Velichkov, Regularity of the optimal sets for some spectral functionals, Geometric and Functional Analysis, Vol. 27/Issue 2, Birkhauser Verlag Basel, 01/04/17, pp. 373-426, DOI 10.1007/s00039-017-0402-2 https://arxiv.org/abs/1609.012​31

Thomas Bartsch, Nicola Soave, A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems, Journal of Functional Analysis, Vol. 272/Issue 12, Academic Press Inc., 01/06/17, pp. 4998-5037, DOI 10.1016/j.jfa.2017.01.025 https://arxiv.org/abs/1605.074​84

Denis Bonheure, Jean-Baptiste Casteras, Benedetta Noris, Multiple positive solutions of the stationary Keller–Segel system, Calculus of Variations and Partial Differential Equations, Vol. 56/Issue 3, Springer New York, 01/06/17, DOI 10.1007/s00526-017-1163-3 http://arxiv.org/abs/1603.0737​4

Alberto Boscaggin, Walter Dambrosio, Duccio Papini, Multiple positive solutions to elliptic boundary blow-up problems, Journal of Differential Equations      , Vol. 262/Issue 12, Academic Press Inc., 01/06/17, pp. 5990-6017, DOI 10.1016/j.jde.2017.02.025 https://arxiv.org/abs/1607.055​85

Dario Mazzoleni, Davide Zucco, Convex combinations of low eigenvalues, Fraenkel asymmetries and attainable sets, ESAIM – Control, Optimisation and Calculus of Variations, Vol. 23/Issue 3, EDP Sciences, 01/07/17, pp. 869-887, DOI 10.1051/cocv/2016017 https://arxiv.org/abs/1512.009​93

Benedetta Noris, Francesca Colasuonno, A $p$-Laplacian supercritical Neumann problem Discrete and Continuous Dynamical Systems, Vol. 37/Issue 6, Southwest Missouri State University, 01/06/17, pp. 3025-3057, DOI 10.3934/dcds.2017130 https://arxiv.org/abs/1606.066​57

Laura Abatangelo, Veronica Felli, Benedetta Noris, Manon Nys, Sharp boundary behavior of eigenvalues for Aharonov–Bohm operators with varying poles, Journal of Functional Analysis, Vol. 273/Issue 7, Academic Press Inc., 01/10/17, pp. 2428-2487, DOI 10.1016/j.jfa.2017.06.023            https://arxiv.org/abs/1605.095​69

Dario Pierotti, Gianmaria Verzini, Normalized bound states for the nonlinear Schrödinger equation in bounded domains, Calculus of Variations and Partial Differential Equations, Vol. 56/Issue 5, Springer New York, 01/10/17, p. 1, DOI 10.1007/s00526-017-1232-7 https://arxiv.org/abs/1607.045​20

Serena Dipierro, Nicola Soave, Enrico Valdinoci, On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results, Mathematische Annalen, Vol. 369/Issue 3-4, Springer New York, 01/12/17, pp. 1283-1326, DOI 10.1007/s00208-016-1487-x https://arxiv.org/abs/1604.077​55

Xijun Hu, Alessandro Portaluri, Index theory for heteroclinic orbits of Hamiltonian systems Calculus of Variations and Partial Differential Equations, Vol. 56/Issue 6, Springer New York, 01/12/17, DOI 10.1007/s00526-017-1259-9 https://arxiv.org/pdf/1703.039​08.pdf

*2018

Laura Abatangelo, Veronica Felli, Benedetta Noris, Manon Nys, Estimates for eigenvalues of Aharonov–Bohmoperators with varying poles and non-half-integer circulation, Analysis and PDE, Vol. 11/Issue 7, Mathematical Sciences Publishers           , 01/01/18, pp. 1741-1785, DOI 10.2140/apde.2018.11.1741     https://arxiv.org/pdf/1706.052​47

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris, Multiple positive solutions for a class of p-Laplacian Neumann problems without growth conditions, ESAIM – Control, Optimisation and Calculus of Variations, EDP Sciences, 01/01/18, DOI 10.1051/cocv/2017074            http://arxiv.org/abs/1703.0572​7

Lorenzo Brasco, Eleonora Cinti, On fractional Hardy inequalities in convex sets, Discrete and Continuous Dynamical Systems, Vol. 38/Issue 8, Southwest Missouri State University, 01/01/18, pp. 4019-4040, DOI 10.3934/dcds.2018175     https://arxiv.org/abs/1802.023​54

Angela Pistoia, Nicola Soave, On Coron’s problem for weakly coupled elliptic systems, Proceedings of the London Mathematical Society, Vol. 116/Issue 1, Oxford University Press, 01/01/18, pp. 33-67, DOI 10.1112/plms.12073    https://arxiv.org/abs/1610.077​62

Nicola Soave, Serena Dipierro, Enrico Valdinoci, On stable solutions of boundary reaction-diffusion equations and applications to nonlocal problems with neumann data, Indiana University Mathematics Journal, Vol. 67/Issue 1, Indiana University, 01/01/18, pp. 429-469, DOI 10.1512/iumj.2018.67.6282         https://arxiv.org/abs/1509.040​01

Nicola Soave, Tobias Weth, The Unique Continuation Property of Sublinear Equations, SIAM Journal on Mathematical Analysis, Vol. 50/Issue 4, Society for Industrial and Applied Mathematics Publications, 01/01/18, pp. 3919-3938, DOI 10.1137/17M1144325 https://arxiv.org/abs/1707.074​63

Susanna Terracini, Giorgio Tortone, Stefano Vita, On s-harmonic functions on cones Analysis and PDE, Vol. 11/Issue 7, Mathematical Sciences Publishers, 01/01/18, pp. 1653-1691, DOI 10.2140/apde.2018.11.1653  http://arxiv.org/abs/1705.0371​7

Alberto Boscaggin, Guglielmo Feltrin, Fabio Zanolin, Positive solutions for super-sublinear indefinite problems: High multiplicity results via coincidence degree     Transactions of the American Mathematical Society, Vol. 370/Issue 2, American Mathematical Society, 01/02/18, pp. 791-845, DOI 10.1090/tran/6992   https://arxiv.org/abs/1512.071​38

Alberto Boscaggin, Guglielmo Feltrin, Positive subharmonic solutions to nonlinear ODEs with indefinite weight, Communications in Contemporary Mathematics, Vol. 20/Issue 01, World Scientific Publishing Co. Pte Ltd, 01/02/18, pp. 1750021, DOI 10.1142/S0219199717500213 https://arxiv.org/abs/1605.025​00

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris, A priori bounds and multiplicity of positive solutions for p-Laplacian Neumann problems with sub-critical growth, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, online first, Cambridge University Press, United Kingdom, 01/02/18, DOI 10.1017/prm.2018.143 https://arxiv.org/pdf/1802.071​10

Laura Abatangelo, Manon Nys, On multiple eigenvalues for Aharonov–Bohm operators in planar domains, Nonlinear Analysis, Theory, Methods and Applications, Vol. 169, Elsevier Limited, 01/04/18, pp. 13516, DOI 10.1016/j.na.2017.11.010 https://arxiv.org/abs/1707.044​16

Benedetta Pellacci, Gianmaria Verzini, Best dispersal strategies in spatially heterogeneous environments: optimization of the principal eigenvalue for indefinite fractional Neumann problems, Journal of Mathematical Biology, Vol. 76/Issue 6, Springer Verlag, 01/05/18, pp. 1357-1386, DOI 10.1007/s00285-017-1180-z      https://arxiv.org/abs/1607.087​09

Susanna Terracini, Stefano Vita, On the asymptotic growth of positive solutions to a nonlocal elliptic blow-up system involving strong competition, Annales de l’Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 35/Issue 3, Elsevier Masson SAS, 01/05/18, pp. 831-858, DOI 10.1016/j.anihpc.2017.08.004 http://arxiv.org/abs/1604.0326​4

Alberto Boscaggin, Walter Dambrosio, Duccio Papini, Parabolic solutions for the planar N-centre problem: multiplicity and scattering, Annali di Matematica Pura ed Applicata, Vol. 197/Issue 3, Springer Verlag, 01/06/18, pp. 869-882, DOI 10.1007/s10231-017-0707-7 https://arxiv.org/abs/1704.013​07

Eleonora Cinti, Saddle-shaped solutions for the fractional Allen-Cahn equation, Discrete and Continuous Dynamical Systems – Series S, Vol. 11/Issue 3, American Institute of Mathematical Sciences – AIMS, 01/06/18, pp. 441-463, DOI 10.3934/dcdss.2018024

Nicola Soave, Hugo Tavares, Susanna Terracini, Alessandro Zilio, Variational Problems with Long-Range Interaction, Archive for Rational Mechanics and Analysis, Vol. 228/Issue 3, Springer New York, 01/06/18, pp. 743-772, DOI 10.1007/s00205-017-1204-2 http://arxiv.org/abs/1701.0500​5

Xijun Hu, Guowei Yu, An Index Theory for Zero Energy Solutions of the Planar Anisotropic Kepler Problem, Communications in Mathematical Physics, Vol. 361/Issue 2, Springer New York, 01/07/18, pp. 709-736, DOI 10.1007/s00220-018-3184 https://arxiv.org/abs/1705.056​45

Nicola Soave, Susanna Terracini, The nodal set of solutions to some elliptic problems: Sublinear equations, and unstable two-phase membrane problem, Advances in Mathematics, Vol. 334, Academic Press Inc., 01/08/18, pp. 243-299, DOI 10.1016/j.aim.2018.06.007 http://arxiv.org/abs/1802.0208​9

Denis Bonheure, Juraj Földes, Ederson Moreira dos Santos, Alberto Saldaña, Hugo Tavares, Paths to uniqueness of critical points and applications to partial differential equations, Transactions of the American Mathematical Society, Vol. 370/Issue 10, American Mathematical Society, 01/10/18, pp. 7081-7127, DOI 10.1090/tran/7231 https://arxiv.org/abs/1806.094​37

Alberto Boscaggin, Arthur Bottois, Walter Dambrosio, The spatial N-centre problem: scattering at positive energies, Calculus of Variations and Partial Differential Equations, Vol. 57/Issue 5, Springer New York, 01/10/18, pp. 44927, DOI 10.1007/s00526-018-1390-2 https://arxiv.org/abs/1710.005​22

Denis Bonheure, Juraj Földes, Ederson Moreira dos Santos, Alberto Saldaña, Hugo Tavares, Paths to uniqueness of critical points and applications to partial differential equations, Transactions of the American Mathematical Society, Vol. 370/Issue 10, American Mathematical Society, 01/10/18, pp. 7081-7127, DOI 10.1090/proc/14149 http://www.ams.org/tran/2018-3​70-10/S0002-9947-2018-07231-2/

Dorin Bucur, Ilaria Fragalà, Bozhidar Velichkov, Gianmaria Verzini, On the honeycomb conjecture for a class of minimal convex partitions, Transactions of the American Mathematical Society, Vol. 370/Issue 10, American Mathematical Society, 01/10/18, pp. 7149-7179, DOI 10.1090/tran/7326 https://arxiv.org/abs/1703.053​83

Laura Abatangelo, Veronica Felli, Luc Hillairet, Corentin Léna, Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators, Journal of Spectral Theory, online first, European MAthematical Society, Switzerland, 24/10/18, DOI 10.4171/JST/251    https://arxiv.org/abs/1611.067​50

Xijun Hu, Alessandro Portaluri, Bifurcation of heteroclinic orbits via an index theory Mathematische Zeitschrift, online first, Springer New York, United States, 20/11/18, DOI 10.1007/s00209-018-2167-1   https://arxiv.org/abs/1704.068​06

Gabriele Cora, A. Iacopetti, On the structure of the nodal set and asymptotics of least energy sign-changing radial solutions of the fractional Brezis–Nirenberg problem, Nonlinear Analysis, Theory, Methods and Applications, Vol. 176, Elsevier Limited, 01/11/18, pp. 226-271, DOI 10.1016/j.na.2018.07.001           https://arxiv.org/abs/1708.06149

Paolo Caldiroli, Monica Musso, Embedded tori with prescribed mean curvature, Advances in Mathematics, Vol. 340, Academic Press Inc., 01/12/18, pp. 406-458, DOI 10.1016/j.aim.2018.10.018          https://arxiv.org/abs/1709.084​95

Alberto Saldaña, Hugo Tavares, Least energy nodal solutions of Hamiltonian elliptic systems with Neumann boundary conditions, Journal of Differential Equations, Vol. 265/Issue 12, Academic Press Inc., 01/12/18, pp. 6127-6165, DOI 10.1016/j.jde.2018.07.013 https://arxiv.org/abs/1606.026​40

Nicola Soave, Enrico Valdinoci, Overdetermined problems for the fractional Laplacian in exterior and annular sets, Journal d’Analyse Mathematique, Springer New York, United States, 14/12/18, pp. 1-34, DOI 10.1007/s11854-018-0067-2 https://arxiv.org/abs/1412.507​4

*2019

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris, Multiple positive solutions for a class of p -Laplacian Neumann problems without growth conditions, ESAIM – Control, Optimisation and Calculus of Variations, online first, EDP Sciences,France , 25/01/19, DOI 10.1051/cocv/2017074 https://arxiv.org/abs/1703.057​27

Alberto Boscaggin, Rafeal Ortega, Lei Zhao, Periodic solutions and regularization of a Kepler problem with time-dependent perturbation, Transactions of the American Mathematical Society, online first, American Mathematical SocietyUnited States, 25/01/19, DOI 10.1090/tran/7589           https://arxiv.org/abs/1710.087​82

Thomas Bartsch, Nicola Soave, Multiple normalized solutions for a competing system of Schrödinger equations, Calculus of Variations and Partial Differential Equations, Vol. 58/Issue 1, Springer New York, United States, 01/02/19, DOI 10.1007/s00526-018-1476-x https://arxiv.org/abs/1703.028​32

Léo Girardin, Alessandro Zilio, Competition in Periodic Media: III—Existence and Stability of Segregated Periodic Coexistence States, Journal of Dynamics and Differential Equations, online first, Springer New York, United States, 11/02/19, DOI 10.1007/s10884-019-09732-7 https://arxiv.org/abs/1803.007​74

Alberto Boscaggin, Maurizio Garrione, Pairs of nodal solutions for a Minkowski-curvature boundary value problem in a ball, Communications in Contemporary Mathematics, Vol. 21/Issue 02, World Scientific Publishing Co. Pte Ltd, Singapore, 01/03/19, pp. 1850006, DOI 10.1142/S0219199718500062 https://arxiv.org/abs/1703.023​15

Benedetta Noris, Hugo Tavares, Gianmaria Verzini, Normalized solutions for nonlinear Schrödinger systems on bounded domains, Nonlinearity, Vol. 32/Issue 3, Institute of Physics Publishing, United Kingdom, 01/03/19, pp. 1044-1072, DOI 10.1088/1361-6544/aaf2e0 https://arxiv.org/abs/1807.030​82

Xijun Hu, Alessandro Portaluri, Ran Yang, Instability of semi-Riemannian closed geodesics, Nonlinearity 2019, to be appear, https://arxiv.org/abs/1706.07619

Dario Mazzoleni, Susanna Terracini and Bozhidar VelichkovRegularity of the free boundary for the vectorial Bernoulli problem, Analysis and PDE, to appear  (https://arxiv.org/abs/1804.09243)

Daniela De Silva and Susanna Terracini, Segregated configurations involving the square root of the laplacian and their free boundaries, Calc. Var. PDE, to appear (https://arxiv.org/abs/1810.01932)

Susanna Terracini, Gianmaria Verzini and Alessandro Zilio, Spiraling asymptotic profiles of competition-diffusion systems, Comm. Pure Appl. Math., published online (http://arxiv.org/abs/1707.01051)

2. PrePrints:

Laura Abatangelo, Veronica Felli, Benedetta Noris, On simple eigenvalues of the fractional Laplacian under removal of small fractional capacity sets, preprint 2019, https://arxiv.org/abs/1902.03550

Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin and Susanna Terracini, Parabolic arcs for time-dependent perturbations of the Kepler problem, preprint 2019, https://arxiv.org/abs/1903.07849

Dario Mazzoleni, Benedetta Pellacci, Gianmaria Verzini, Quantitative analysis of a singularly perturbed shape optimization problem in a polygon, preprint 2019, https://arxiv.org/abs/1902.05844

Giorgio Tortone, Alessandro Zilio, Regularity results for segregated configurations involving fractional Laplacian, preprint 2019, https://arxiv.org/abs/1901.01196

Yannic Sire, Susanna Terracini, Stefano Vita, Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions, preprint 2019, https://arxiv.org/abs/1903.02143

Nicola Soave, Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case, preprint 2019, https://arxiv.org/abs/1901.02003

Laura Abatangelo, Veronica Felli, Corentin Léna, Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications, preprint 2018, https://arxiv.org/abs/1804.10569

Alessandro Audrito, Susanna Terracini, On the nodal set of solutions to a class of nonlocal parabolic reaction-diffusion equations, preprint 2018, https://arxiv.org/abs/1807.10135

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris, A priori bounds and multiplicity of positive solutions for p-Laplacian Neumann problems with sub-critical growth, Proc. Roy. Soc. Edinburgh Sect. A, 2018 https://arxiv.org/abs/1802.07110

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris, Positive radial solutions for the Minkowski-curvature equation with Neumann boundary conditions, preprint 2018, https://arxiv.org/abs/1806.06048

Alberto Boscaggin, Guglielmo Feltrin, Positive periodic solutions to an indenite Minkowski- curvature equation, preprint 2018, https://arxiv.org/abs/1805.06659

Daniele Cassani, Hugo Tavares, Jianjun Zhang, Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two, preprint 2018, https://arxiv.org/abs/1810.04524

Massimo Grossi, Alberto Saldaña, Hugo Tavares, Sharp concentration estimates near criticality for radial sign-changing solutions of Dirichlet and Neumann problems, preprint 2018, https://arxiv.org/abs/1806.09437

Dario Mazzoleni, Benedetta Pellacci, Gianmaria Verzini, Asymptotic spherical shapes in some spectral optimization problems, preprint 2018, https://arxiv.org/abs/1811.01623

Benedetta Noris, Hugo Tavares, Gianmaria Verzini, Normalized solutions for Nonlinear Schrödinger systems on bounded domains, preprint 2018, https://arxiv.org/pdf/1807.03082.pdf

Angela Pistoia, Nicola Soave, Hugo Tavares, A fountain of positive Bubbles on a Coron’s Problem for a Competitive Weakly Coupled Gradient System, preprint 2018, https://arxiv.org/abs/1812.04280

Yannick Sire, Susanna Terracini, Giorgio Tortone, On the nodal set of solutions to degenerate or singular elliptic equations with an application to s−harmonic functions, preprint 2018, https://arxiv.org/abs/1808.01851

Nicola Soave, Normalized ground states for the NLS equation with combined nonlinearities, preprint 2018, https://arxiv.org/abs/1811.00826

Nicola Soave, Susanna Terracini, The nodal set of solutions to some elliptic problems: singular nonlinearities, preprint 2018, http://arxiv.org/abs/1803.06637

Vivina Laura Barutello, Xijun Hu, Alessandro Portaluri, Susanna Terracini, An Index theory for asymptotic motions under singular potentials, preprint 2017, http://arxiv.org/abs/1705.01291

Dario Mazzoleni, Aldo Pratelli, Some estimates for the higher eigenvalues of sets close to the ball, preprints 2017 https://arxiv.org/abs/1705.10575

Laura Abatangelo, Multiple Aharonov–Bohm eigenvalues: the case of the first eigenvalue on the disk, preprint 2017, https://arxiv.org/abs/1712.08380v2

Alberto Farina, Berardino Sciunzi, Nicola Soave, Monotonicity and rigidity of solutions to some elliptic systems with uniform limits, preprint 2017,  https://arxiv.org/abs/1704.06430

Xijun Hu, Alessandro Portaluri, Ran Yang, A dihedral Bott-type iteration formula and stability of symmetric periodic orbits, preprint 2017, https://arxiv.org/abs/1705.09173

Guowei Yu, Connecting planar linear chains in the spatial N-body problem,preprint 2017, https://arxiv.org/abs/1711.05071

Guowei Yu, Application of Morse index in weak force N-body problem, preprint 2017, https://arxiv.org/abs/1711.05077

João-Paulo Dias, Filipe Oliveira, Hugo Tavares, On a coupled system of a Ginzburg-Landau equation with a quasilinear conservation law, preprint 2016, https://arxiv.org/abs/1606.02640

3. Conference Papers:

Alessandro Zilio, Optimal Regularity Results Related to a Partition Problem Involving the Half-Laplacian, New Trends in Shape Optimization, Vol. 166, 01/01/15, Springer International Publishing, Cham 301.  DOI: 10.1007/978-3-319-17563-8_13         http://link.springer.com/10.10​07/978-3-319-17563-8

C. D. Pagani, D. Pierotti, G. Verzini, and A. Zilio, A nonlinear Steklov problem arising in corrosion modeling Contributions to Nonlinear Elliptic Equations and Systems, Vol. 86, 01/01/15, Springer International Publishing, Cham 371,  DOI: 10.1007/978-3-319-19902-3_22

Laura Abatangelo and Veronica Felli, Solvability Rate of Convergence for Eigenfunctions of Aharonov-Bohm Operators with a Moving Pole, Regularity, and Optimal Control of Boundary Value Problems for PDEs, Vol. 22      01/01/17, Springer International Publishing, Cham gen-30, DOI: 10.1007/978-3-319-64489-9_1      https://arxiv.org/abs/1612.013​30

3. Thesis

1         Matteo Sacchet, Two Nonlinear Systems from Mathematical Physics, 01/07/2017, Università di Torino.

2         Stefano Vita, Strong Competition Systems Ruled by Anomalous Diffusions, 26/06/2018, Università di Torino e Politecnico di Torino.

3         Giorgio Tortone, On the nodal set of degenerate-singular and nonlocal equations, 26/06/2018, Università di Torino e Politecnico di Torino.

4         Alessandro Audrito, Nonlinear and nonlocal diffusion equations. Qualitative theory and asymptotic behaviour, 18/06/2018, Università di Torino e Politecnico di Torino.

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