A minimization problem with free boundary for p-Laplacian weakly coupled system
Morteza Fotouhi, Henrik Shahgholian · Advances in Nonlinear Analysis · 2024
Abstract In this article, we consider a weakly coupled p 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.