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

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.

Bibliographic Details
Main Authors: Fotouhi Morteza, Shahgholian Henrik
Format: Article
Language:English
Published: De Gruyter 2024-03-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2023-0138