On a weighted anisotropic eigenvalue problem

Abstract

In this paper we deal with a weighted eigenvalue problem for the anisotropic $(p,q)$-Laplacian with Dirichlet boundary conditions. We study the main properties of the first eigenvalue and prove a reverse Hölder type inequality for the corresponding eigenfunctions.

17 pages

References in corpus (2)

• Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators
• On the rate of change of the best constant in the Sobolev inequality