Eigenvalues of the negative $(p,q)$-Laplacian under a Steklov-like boundary condition

Abstract

In this paper we consider in a bounded domain $\Omega \subset {\mathbb{R}}^N$ with smooth boundary an eigenvalue problem for the negative $(p,q)$-Laplacian with a Steklov type boundary condition, where $p\in (1,\infty )$, $q\in (2,\infty )$ and $p\ne q$. A full description of the set of eigenvalues of this problem is provided, thus essentially extending a recent result by Abreu and Madeira [1] related to the $(p,2)$-Laplacian.

References in corpus (1)

• Generalized spectrum of the $(\mathbf{p},2)$-Laplacian under a parametric boundary condition