Flat Level Set Regularity of $p$-Laplace Phase Transitions PDF Download

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Flat Level Set Regularity of $p$-Laplace Phase Transitions

Flat Level Set Regularity of $p$-Laplace Phase Transitions PDF Author: Enrico Valdinoci
Publisher: American Mathematical Soc.
ISBN: 0821839101
Category : Mathematics
Languages : en
Pages : 158

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Book Description
We prove a Harnack inequality for level sets of $p$-Laplace phase transition minimizers. In particular, if a level set is included in a flat cylinder, then, in the interior, it is included in a flatter one. The extension of a result conjectured by De Giorgi and recently proven by the third author for $p=2$ follows.