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math.AP2025
Normalized solutions to mixed dispersion nonlinear Schrödinger system with coupled nonlinearity
Zhen-Feng Jin, Guotao Wang, Weimin Zhang
In this paper, we consider the existence of normalized solutions for the following biharmonic nonlinear Schrödinger system \begin{equation*} \begin{cases} Δ^2u+α_{1}Δu+λu=βr_{1}|u|…
math.AP2025
Infinitely many solutions for elliptic system with Hamiltonian type
Jia Zhang, Weimin Zhang
In this paper, we use Legendre-Fenchel transform and a space decomposition to carry out Fountain theorem and dual Fountain theorem for the following elliptic system of Hamiltonian…