NLS ground states on metric graphs with localized nonlinearities L Tentarelli Journal of Mathematical Analysis and Applications 433 (1), 291-304, 2016 | 53 | 2016 |
Bound states of the NLS equation on metric graphs with localized nonlinearities E Serra, L Tentarelli Journal of Differential Equations 260 (7), 5627-5644, 2016 | 48 | 2016 |
On the lack of bound states for certain NLS equations on metric graphs E Serra, L Tentarelli Nonlinear Analysis: Theory, Methods & Applications 145, 68-82, 2016 | 40 | 2016 |
Nonlinear Dirac equation on graphs with localized nonlinearities: bound states and nonrelativistic limit W Borrelli, R Carlone, L Tentarelli SIAM Journal on Mathematical Analysis 51 (2), 1046-1081, 2019 | 38 | 2019 |
-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features S Dovetta, L Tentarelli Calculus of Variations and Partial Differential Equations 58 (3), Article …, 2019 | 37 | 2019 |
Ground states for the planar NLSE with a point defect as minimizers of the constrained energy R Adami, F Boni, R Carlone, L Tentarelli Calculus of Variations and Partial Differential Equations 61 (5), article …, 2022 | 27 | 2022 |
On the nonlinear Dirac equation on noncompact metric graphs W Borrelli, R Carlone, L Tentarelli Journal of Differential Equations 278, 326-357, 2021 | 27 | 2021 |
Well-posedness of the two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity R Carlone, M Correggi, L Tentarelli Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 (1), 257-294, 2019 | 25 | 2019 |
Ground states of the L 2-critical NLS equation with localized nonlinearity on a tadpole graph S Dovetta, L Tentarelli Oper. Theory Adv. Appl. - Discrete and Continuous Models in the Theory of …, 2020 | 24 | 2020 |
Blow-up for the pointwise NLS in dimension two: absence of critical power R Adami, R Carlone, M Correggi, L Tentarelli Journal of Differential Equations 269 (1), 1-37, 2020 | 22 | 2020 |
The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions R Carlone, A Fiorenza, L Tentarelli Journal of Functional Analysis 273 (3), 1258-1294, 2017 | 21 | 2017 |
Stability of the standing waves of the concentrated NLSE in dimension two R Adami, R Carlone, M Correggi, L Tentarelli Mathematics in Engineering 3 (2), 1.15, 2021 | 17 | 2021 |
Existence, structure, and robustness of ground states of a NLSE in 3D with a point defect R Adami, F Boni, R Carlone, L Tentarelli J. Math. Phys. 63 (7), article number 071501, 16pp, 2022 | 16 | 2022 |
De Giorgi’s approach to hyperbolic Cauchy problems: The case of nonhomogeneous equations L Tentarelli, P Tilli Communications in Partial Differential Equations 43 (4), 677-698, 2018 | 16 | 2018 |
An overview on the standing waves of nonlinear Schr\" odinger and Dirac equations on metric graphs with localized nonlinearity W Borrelli, R Carlone, L Tentarelli Symmetry, Special Issue “Symmetries of Nonlinear PDEs on Metric Graphs and …, 2019 | 15 | 2019 |
A Note on the Dirac Operator with Kirchoff-Type Vertex Conditions on Metric Graphs W Borrelli, R Carlone, L Tentarelli Springer INdAM Series - Mathematical Challenges of Zero-Range Physics 42, 81-104, 2021 | 13 | 2021 |
Symmetry breaking in two–dimensional square grids: persistence and failure of the dimensional crossover S Dovetta, L Tentarelli Journal de Mathématiques Pures et Appliquées 160, 99-157, 2022 | 12 | 2022 |
Nonlinear singular perturbations of the fractional Schr\" odinger equation in dimension one R Carlone, D Finco, L Tentarelli Nonlinearity 32 (8), 3112-3143, 2019 | 12 | 2019 |
An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach L Tentarelli, P Tilli Journal of Differential Equations 266 (8), 5185-5208, 2019 | 10 | 2019 |
A general review on the NLS equation with point-concentrated nonlinearity L Tentarelli Commun. Appl. Ind. Math. 14 (1), 62-84, 2023 | 6 | 2023 |