activity
20172026
most cited-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features

35 citations · 172 across the 33 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

econ.TH2021

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…

math.AP2021

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…

math.AP2021

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…

math.AP2021★ 1 cited

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…

math.AP2021

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, $…

math.AP2021★ 10 cited

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…