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arXiv · 1804.08573

Bernoulli free boundary problem for the infinity Laplacian

Graziano Crasta·Ilaria Fragalà
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Abstract

We study the interior Bernoulli free boundary problem for the infinity Laplacian. Our results cover existence, uniqueness, and characterization of solutions (above a threshold representing the "infinity Bernoulli constant"), their regularity, and their relationship with the solutions to the interior Bernoulli problem for the $p$-laplacian.

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Graziano Crasta, Ilaria Fragalà. 2018-04-23. Bernoulli free boundary problem for the infinity Laplacian. https://arxiv.org/abs/1804.08573

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