5 papers
NLS ground states on a hybrid plane
Riccardo Adami, Filippo Boni, Raffaele Carlone +1
We study existence, nonexistence, and qualitative properties of ground states for a focusing, subcritical Nonlinear Schrödinger Equation on a hybrid plane, consisting of a half-li…
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…
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 d…
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 nonlinearit…
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 condi…