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

Morteza Fotouhi,Henrik Shahgholian

ADVANCES IN NONLINEAR ANALYSIS（2024）

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Abstract
In this article, 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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Key words
p-Laplacian,minimizers,free boundary regularity,system
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