57 citations · 475 across the 30 of their papers we have counts for
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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…