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arxiv: 1703.01157 · v1 · pith:4S6C53YGnew · submitted 2017-03-03 · 🧮 math.AP

A free boundary optimization problem for the infty-Laplacian

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keywords freeboundaryoptimizationproblemboundboundariesconductionconstraint
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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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