A Minimization Problem with Free Boundary for $p$-Laplacian weakly coupled System
Analysis of PDEs
2023-01-06 v1
Abstract
In this paper we consider a weakly coupled -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
Cite
@article{arxiv.2301.02236,
title = {A Minimization Problem with Free Boundary for $p$-Laplacian weakly coupled System},
author = {Morteza Fotouhi and Henrik Shahgholian},
journal= {arXiv preprint arXiv:2301.02236},
year = {2023}
}