2 papers
math.AP2024
Existence of normalized ground state solution to a mixed Schrödinger system in a plane
Ashutosh Dixit, Amin Esfahani, Hichem Hajaiej +1
In this paper, we establish the existence of positive ground state solutions for a class of mixed Schrödinger systems with concave-convex nonlinearities in , subject…
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,&\…