Existence of infinitely many stationary solutions of the L2-subcritical and critical NLSE on compact metric graphs S Dovetta
Journal of Differential Equations 264 (7), 4806-4821, 2018
38 2018 -critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric featuresS Dovetta, L Tentarelli
Calculus of Variations and Partial Differential Equations 58, 1-26, 2019
35 2019 Variational and stability properties of constant solutions to the NLS equation on compact metric graphs C Cacciapuoti, S Dovetta, E Serra
Milan Journal of Mathematics 86, 305-327, 2018
34 2018 Dimensional crossover with a continuum of critical exponents for NLS on doubly periodic metric graphs R Adami, S Dovetta, E Serra, P Tilli
Analysis & PDE 12 (6), 1597-1612, 2019
33 2019 Mass-constrained ground states of the stationary NLSE on periodic metric graphs S Dovetta
Nonlinear Differential Equations and Applications NoDEA 26 (5), 30, 2019
27 2019 Action versus energy ground states in nonlinear Schrödinger equations S Dovetta, E Serra, P Tilli
Mathematische Annalen 385 (3), 1545-1576, 2023
26 2023 NLS ground states on metric trees: existence results and open questions S Dovetta, E Serra, P Tilli
Journal of the London Mathematical Society 102 (3), 1223-1240, 2020
26 2020 Ground States of the L 2 -Critical NLS Equation with Localized Nonlinearity on a Tadpole Graph S Dovetta, L Tentarelli
Discrete and Continuous Models in the Theory of Networks, 113-125, 2020
24 2020 Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one F Boni, S Dovetta
Journal of Mathematical Analysis and Applications 496 (1), 124797, 2021
21 2021 Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs R Adami, F Boni, S Dovetta
Journal of Functional Analysis 283 (1), 109483, 2022
20 2022 Uniqueness and non–uniqueness of prescribed mass NLS ground states on metric graphs S Dovetta, E Serra, P Tilli
Advances in Mathematics 374, 107352, 2020
19 2020 Peaked and low action solutions of NLS equations on graphs with terminal edges S Dovetta, M Ghimenti, AM Micheletti, A Pistoia
SIAM Journal on Mathematical Analysis 52 (3), 2874-2894, 2020
15 2020 One-dimensional versions of three-dimensional system: ground states for the NLS on the spatial grid R Adami, S Dovetta
arXiv preprint arXiv:1811.01386, 2018
14 2018 Doubly nonlinear Schrödinger ground states on metric graphs F Boni, S Dovetta
Nonlinearity 35 (7), 3283, 2022
10 2022 Quantum graphs and dimensional crossover: the honeycomb R Adami, S Dovetta, A Ruighi
Communications in Applied and Industrial Mathematics 10 (1), 109-122, 2019
10 2019 On the notion of ground state for nonlinear Schrödinger equations on metric graphs C De Coster, S Dovetta, D Galant, E Serra
Calculus of Variations and Partial Differential Equations 62 (5), 159, 2023
9 2023 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
9 2022 Constant sign and sign changing NLS ground states on noncompact metric graphs C De Coster, S Dovetta, D Galant, E Serra, C Troestler
arXiv preprint arXiv:2306.12121, 2023
7 2023 Solutions to a cubic Schr\" odinger system with mixed attractive and repulsive forces in a critical regime S Dovetta, A Pistoia
arXiv preprint arXiv:2104.14916, 2021
7 2021 Γ-limit of the cut functional on dense graph sequences A Braides, P Cermelli, S Dovetta
ESAIM: Control, Optimisation and Calculus of Variations 26, 26, 2020
6 2020