2 papers
math.FA2018
Infinitely many solutions of a class of elliptic equations with variable exponent
Chang-Mu Chu, Haidong Liu
This paper is concerned with the -Laplacian equation of the form \begin{equation}\label{eq0.1} \left\{\begin{array}{ll} -Δ_{p(x)} u=Q(x)|u|^{r(x)-2}u, &\mbox{in}\ Ω,\\ u=0, &…
math.AP2016
On the existence of positive solutions for a quasilinear Schrödinger equation
Haidong Liu, Leiga Zhao
This paper is concerned with the quasilinear Schrödinger equation \begin{equation*} -Δu+V(x)u- Δ(u^2)u =h(u), \ \ \mbox{in} \ \mathbb{R}^N, \end{equation*} where . Under a…