E-bok > Sciences > Math > Enrico Valdinoci: Flat Level Set Regularity of $p$-Laplace Phase Transitions (PDF)

Enrico Valdinoci
Flat Level Set Regularity of $p$-Laplace Phase Transitions [PDF ebook]

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Omslag till Enrico Valdinoci: Flat Level Set Regularity of $p$-Laplace Phase Transitions (PDF)

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.

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