6 papers · 1 filter
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…
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…
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…