A Minimization Problem with Free Boundary for $p$-Laplacian weakly coupled System

Abstract

In this paper we consider a weakly coupled $p$-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.

Cited by in corpus (1)

• Lipschitz regularity of a weakly coupled vectorial almost-minimizers for the $p$-Laplacian