Infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annulus

Abstract

We present a result of existence of infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annular domains, when $p\le N$, contouring the failure of compactness of $W^{1,p}(\Omega )$ in $C^0(\bar{\Omega })$ applying a variable change.

8 pages