35 citations · 172 across the 33 of their papers we have counts for
36 papers
Normalized nonlinear Schrödinger ground states on defected grids with unbounded defects
William Borrelli, Nicolò Cangiotti, Simone Dovetta +1
We study normalized ground states for the nonlinear Schrödinger energy on two-dimensional square grids with unbounded defects. We first show that unbounded defects do not necessari…
Uniqueness and non-uniqueness of least energy normalized solutions for nonlinear Schrödinger equations on compact metric graphs
Simone Dovetta, Lun Guo
We investigate uniqueness and non-uniqueness of least energy normalized and least energy nodal normalized solutions for nonlinear Schrödinger equations on compact metric graphs. We…
Existence of optimizers for the sharp stability constant in the logarithmic Sobolev inequality
Simone Dovetta, Enrico Serra
We study the sharp stability constant in the logarithmic Sobolev inequality, defined as the infimum of the logarithmic Sobolev deficit divided by the squared -distance from th…
Dirac solitons in one-dimensional nonlinear Schrödinger equations
William Borrelli, Elena Danesi, Simone Dovetta +1
In this paper we study a family of one-dimensional stationary cubic nonlinear Schrödinger (NLS) equations with periodic potentials and linear part displaying Dirac points in the di…
Doubly nonlinear Schrödinger normalized ground states on 2D grids: existence results and singular limits
Daniele Barbera, Filippo Boni, Simone Dovetta +1
We investigate the existence and the singular limit of normalized ground states for focusing doubly nonlinear Schrödinger equations with both standard and concentrated nonlineariti…
Normalized solutions of one-dimensional defocusing NLS equations with nonlinear point interactions
Daniele Barbera, Filippo Boni, Simone Dovetta +1
We investigate normalized solutions for doubly nonlinear Schrödinger equations on the real line with a defocusing standard nonlinearity and a focusing nonlinear point interaction o…
Non-uniqueness of normalized NLS ground states on polygons with homogeneous Neumann boundary conditions
Simone Dovetta, Enrico Serra, Lorenzo Tentarelli
We provide a non-uniqueness result for normalized ground states of nonlinear Schrödinger equations with pure power nonlinearity on polygons with homogeneous Neumann boundary condit…
An action approach to nodal and least energy normalized solutions for nonlinear Schrödinger equations
Colette De Coster, Simone Dovetta, Damien Galant +1
We develop a new approach to the investigation of normalized solutions for nonlinear Schrödinger equations based on the analysis of the masses of ground states of the corresponding…
Non-uniqueness of normalized ground states for nonlinear Schrödinger equations on metric graphs
Simone Dovetta
We establish general non-uniqueness results for normalized ground states of nonlinear Schrödinger equations with power nonlinearity on metric graphs. Basically, we show that, whene…
Normalized solutions of -supercritical NLS equations on noncompact metric graphs
Simone Dovetta, Louis Jeanjean, Enrico Serra
We consider the existence of normalized solutions to nonlinear Schrödinger equations on noncompact metric graphs in the supercritical regime. For sufficiently small prescribe…
Normalized ground states for Schrödinger equations on metric graphs with nonlinear point defects
Filippo Boni, Simone Dovetta, Enrico Serra
We investigate the existence of normalized ground states for Schrödinger equations on noncompact metric graphs in presence of nonlinear point defects, described by nonlinear -in…
Existence and multiplicity of peaked bound states for nonlinear Schrödinger equations on metric graphs
Haixia Chen, Simone Dovetta, Angela Pistoia +1
We establish existence and multiplicity of one-peaked and multi-peaked positive bound states for nonlinear Schrödinger equations on general compact and noncompact metric graphs. Pr…
Constant sign and sign changing NLS ground states on noncompact metric graphs
Colette De Coster, Simone Dovetta, Damien Galant +2
We investigate existence and nonexistence of action ground states and nodal action ground states for the nonlinear Schrödinger equation on noncompact metric graphs with rather gene…
Singular limit of periodic metric grids
Simone Dovetta
We investigate the asymptotic behaviour of nonlinear Schrödinger ground states on -dimensional periodic metric grids in the limit for the length of the edges going to zero. We p…
On the notion of ground state for nonlinear Schrödinger equations on metric graphs
Colette De Coster, Simone Dovetta, Damien Galant +1
We compare ground states for the nonlinear Schrödinger equation on metric graphs, defined as global minimizers of the action functional constrained on the Nehari manifold, and leas…
On the continuum limit of epidemiological models on graphs: convergence and approximation results
Blanca Ayuso de Dios, Simone Dovetta, Laura V. Spinolo
We focus on an epidemiological model (the archetypical SIR system) defined on graphs and study the asymptotic behavior of the solutions as the number of vertices in the graph diver…
Behavioral Foundations of Nested Stochastic Choice and Nested Logit
Matthew Kovach, Gerelt Tserenjigmid
We provide the first behavioral characterization of nested logit, a foundational and widely applied discrete choice model, through the introduction of a non-parametric version of n…
New regularity results for scalar conservation laws, and applications to a source-destination model for traffic flows on networks
Simone Dovetta, Elio Marconi, Laura V. Spinolo
We focus on entropy admissible solutions of scalar conservation laws in one space dimension and establish new regularity results with respect to time. First, we assume that the flu…
Action versus energy ground states in nonlinear Schrödinger equations
Simone Dovetta, Enrico Serra, Paolo Tilli
We investigate the relations between normalized critical points of the nonlinear Schrödinger energy functional and critical points of the corresponding action functional on the ass…
Initial-boundary value problems for merely bounded nearly incompressible vector fields in one space dimension
Simone Dovetta, Elio Marconi, Laura V. Spinolo
We establish existence and uniqueness results for initial-boundary value problems for transport equations in one space dimension with nearly incompressible velocity fields, under t…
Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime
Simone Dovetta, Angela Pistoia
We study the existence of solutions to the cubic Schrödinger system $$ -Δu_i = \sum_{j =1}^m β_{ij} u_j^2u_i + λ_i u_i\ \hbox{in}\ Ω,\ u_i=0\ \hbox{on}\ \partialΩ,\ i =1,\dots,m, $…
Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover
Simone Dovetta, Lorenzo Tentarelli
We discuss the model robustness of the infinite two-dimensional square grid with respect to symmetry breakings due to the presence of defects, that is, lacks of finitely or infinit…
Competing nonlinearities in NLS equations as source of threshold phenomena on star graphs
Riccardo Adami, Filippo Boni, Simone Dovetta
We investigate the existence of ground states for the nonlinear Schrödinger Equation on star graphs with two subcritical focusing nonlinear terms: a standard power nonlinearity, an…
Uniqueness and non-uniqueness of prescribed mass NLS ground states on metric graphs
Simone Dovetta, Enrico Serra, Paolo Tilli
We consider the problem of uniqueness of ground states of prescribed mass for the Nonlinear Schrödinger Energy with power nonlinearity on noncompact metric graphs. We first establi…