A minimization problem with free boundary for p-Laplacian weakly coupled system

Abstract

In this article, we consider a weakly coupled pp-Laplacian system of a Bernoulli-type free boundary problem, through minimization of a corresponding functional. We prove various properties of any local minimizer and the corresponding free boundary.

Keywords

• p-laplacian
• minimizers
• free boundary regularity
• system
• 35r35