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arXiv · 2301.02236

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

Morteza Fotouhi·Henrik Shahgholian
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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.

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Morteza Fotouhi, Henrik Shahgholian. 2023-01-05. A Minimization Problem with Free Boundary for $p$-Laplacian weakly coupled System. https://arxiv.org/abs/2301.02236

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