Two overdetermined problems for anisotropic p-Laplacian

Abstract

In this paper, we consider two overdetermined problems for the anisotropic p-Laplacian (1<p≤n) in the exterior domains and the bounded punctured domains, respectively, and prove the corresponding Wulff shape characterizations, by using Weinberger type approach.

Keywords

• anisotropic p-laplacian
• capacity
• overdetermined problems
• wulff shape