2 citations · 2 across the 7 of their papers we have counts for
7 papers
Comparison principles and symmetry for subquadratic fractional -Laplacian equations
Dong Ye, Weimin Zhang
This paper establishes a new comparison principle framework for the subquadratic fractional -Laplacian, i.e.~ under minimal regularity assumptions, that has remained…
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} &-Δu+ωu=μu^{p-1}+u^{…
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|…
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…
Variational method for fractional Hamiltonian system in bounded domain
Weimin Zhang
Here we consider the following fractional Hamiltonian system \begin{equation*} \begin{cases} \begin{aligned} (-Δ)^{s} u&=H_v(u,v) \;\;&&\text{in}~Ω,\\ (-Δ)^{s} v&=H_u(u,v) &&\text{…
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: $(-Δ)_p^s u= λf(u),\; u> 0 ~\text{in}~Ω;\; u=0\;\text{in}~…
Normalized solutions for nonlinear Schrödinger equation involving potential and Sobolev critical exponent
Zhen-Feng Jin, Weimin Zhang
In this paper, we consider the existence of positive solutions with prescribed -norm for the following nonlinear Schrödinger equation involving potential and Sobolev critical…