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…