logarithmic nonlinearity 1normalized solutions 1pseudo-relativistic Schrödinger equation 1traveling waves 1variational methods 1
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math.AP2024
On the embedding of weighted Sobolev spaces with applications to a planar nonlinear Schrödinger equation
Antonio Azzolini, Alessio Pomponio, Simone Secchi
In this paper we study the embedding properties for the weighted Sobolev space into the Lebesgue weighted space . Here and are d…
math.AP2024
New insights into the solutions of a class of anisotropic nonlinear Schrödinger equations on the plane
Amin Esfahani, Hichem Hajaiej, Alessio Pomponio
In this paper, we study the following anisotropic nonlinear Schrödinger equation on the plane, \[ \begin{cases} {\rm i}\partial_t Φ+\partial_{xx} Φ-D_y^{2s} Φ+|Φ|^{p-2}Φ=0,&\…