35 citations · 43 across the 4 of their papers we have counts for
4 papers
Infinitely many solutions for a Schrodinger equation with sign-changing potential and nonlinear term
Long-Jiang Gu, Huan-Song Zhou
We propose a new variational approach to finding multiple critical points for strongly indefinite problems without assuming the weak upper semicontinuity on the variational functio…
An Improved Fountain Theorem and its Application
Long-Jiang Gu, Huan-Song Zhou
The main aim of the paper is to prove a fountain theorem without assuming the -upper semicontinuity condition on the variational functional. Using this improved fountain theorem…
Eigenvalue problem for a p-Laplacian equation with trapping potentials
Long-Jiang Gu, Xiaoyu Zeng, Huan-Song Zhou
Consider the following eigenvalue problem of p-Laplacian equation \begin{equation}\label{P} -Δ_{p}u+V(x)|u|^{p-2}u=μ|u|^{p-2}u+a| u|^{s-2}u, x\in \mathbb{R}^{n}, \tag{P} \end{equat…
Infinitely many small energy solutions of a semilinear Schrodinger equation
Long-Jiang Gu, Hong-Rui Sun
In this paper we prove the existence of infinitely many small energy solution of a semilinear Schrodinger equation via the dual form of the generalized fountain theorem. This equat…