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arXiv · 1703.01157

A free boundary optimization problem for the $\infty$-Laplacian

Rafayel Teymurazyan·José Miguel Urbano
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Abstract

We study a free boundary optimization problem in heat conduction, ruled by the infinity-Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries.

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Rafayel Teymurazyan, José Miguel Urbano. 2017-03-03. A free boundary optimization problem for the $\infty$-Laplacian. https://arxiv.org/abs/1703.01157

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