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math.AP2016★ 35 cited
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…
math.AP2014
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…