Asymptotic behavior for the radial eigenvalues of p-Laplacian in certain annular domains

Abstract

In this paper we prove an asymptotic behavior for the radial eigenvalues to the Dirichlet $p$-Laplacian problem $-{\Delta }_{p}u=\lambda |u{|}^{p-2}u$ in $\Omega$, $u=0$ on $\partial \Omega$, where $\Omega$ is an annular domain $\Omega ={\Omega }_{R,\overline{R}}$ in ${\mathbb{R}}^N$.

08 pages