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Simone Dovetta
Simone Dovetta
Tenure Track Assistant Professor, Politecnico di Torino
Verified email at polito.it - Homepage
Title
Cited by
Cited by
Year
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
382018
-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, 1-26, 2019
352019
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
342018
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
332019
Mass-constrained ground states of the stationary NLSE on periodic metric graphs
S Dovetta
Nonlinear Differential Equations and Applications NoDEA 26 (5), 30, 2019
272019
Action versus energy ground states in nonlinear Schrödinger equations
S Dovetta, E Serra, P Tilli
Mathematische Annalen 385 (3), 1545-1576, 2023
262023
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
262020
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
242020
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
212021
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
202022
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
192020
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
152020
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
142018
Doubly nonlinear Schrödinger ground states on metric graphs
F Boni, S Dovetta
Nonlinearity 35 (7), 3283, 2022
102022
Quantum graphs and dimensional crossover: the honeycomb
R Adami, S Dovetta, A Ruighi
Communications in Applied and Industrial Mathematics 10 (1), 109-122, 2019
102019
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
92023
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
92022
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
72023
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
72021
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
62020
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