Radially symmetric weak solutions for elliptic problems in $\mathbb R^N$

Abstract

The existence of infinitely many radially symmetric weak solutions for non-autonomous elliptic problems involving the $p$-Laplacian in the Euclidan space $\mathbb{R}^N$ is investigated. The approach is based on variational method. A main ingredient of proof is the famous symmetric critically principle of Palais. A concrete example of an application is pointed out.