Flat Level Set Regularity of P-laplace Phase Transitions

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Flat Level Set Regularity of P-laplace...

Flat Level Set Regularity of P-laplace Phase Transitions

Name: Flat Level Set Regularity of P-laplace Phase Transitions
ISBN: 9780821839102

Enrico Valdinoci, Berardino Sciunzi, and Vasile Ovidiu Savin

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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.

Kategorie:

Mathematics

Rok:

2006

Wydawnictwo:

American Mathematical Society

Język:

english

Strony:

144

ISBN 10:

0821839101