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On the supremal version of the Alt-Caffarelli minimization problem

By Graziano Crasta and Ilaria Fragalà

Abstract

This is a companion paper to our recent work [9], where we studied the interior Bernoulli free boundary for the infinity Laplacian. Here we consider its variational side, which corresponds to the supremal version of the Alt--Caffarelli minimization problem.Comment: 18 pages, 2 figure

Topics: Mathematics - Analysis of PDEs, 35R35, 49J45, 49K20, 35N25
Year: 2018
OAI identifier: oai:arXiv.org:1811.12810

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