4 papers
Existence and nonexistence of normalized solutions for nonlinear Schrödinger equation involving combined nonlinearities in bounded domain
Zhen-Feng Jin, Weimin Zhang
In this paper, we consider the existence, multiplicity and nonexistence of solutions for the following equation \begin{equation*} \begin{cases} \begin{aligned} &-Îu+Ïu=μu^{p-1}+…
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} Î^2u+α_{1}Îu+λu=βr_…
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…
Stable solution and extremal solution for fractional -Laplacian
Weimin Zhang
To our knowledge, this paper is the first attempt to consider the existence issue for fractional -Laplacian equation: $(-Î)_p^s u= λf(u),\; u> 0 ~\text{in}~Ω;\; u=0\;\text{in…