A free boundary optimization problem for the ∞-Laplacian

2017/03/03 by Rafayel Teymurazyan, Teymurazyan, Rafayel, José Miguel Urbano +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1703.01157

19 pages

arxiv created 2017/03/03 · arxiv updated 2017/03/06

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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