Flat level set regularity of p-Laplace phase transitions

Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

We prove a Harnack inequality for level sets of p-Laplace phase transition minimizers. In particular, if a level set is included in a fiat 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.

Original languageEnglish
Pages (from-to)1-150
Number of pages150
JournalMemoirs of the American Mathematical Society
Volume182
Issue number858
Publication statusPublished - 1 Jul 2006
Externally publishedYes

Fingerprint

Laplace
Level Set
Phase Transition
Phase transitions
Regularity
Harnack Inequality
Minimizer
Interior

Cite this

Valdinoci, Enrico ; Sciunzi, Berardino ; Savin, Vasile Ovidiu. / Flat level set regularity of p-Laplace phase transitions. In: Memoirs of the American Mathematical Society. 2006 ; Vol. 182, No. 858. pp. 1-150.
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Flat level set regularity of p-Laplace phase transitions. / Valdinoci, Enrico; Sciunzi, Berardino; Savin, Vasile Ovidiu.

In: Memoirs of the American Mathematical Society, Vol. 182, No. 858, 01.07.2006, p. 1-150.

Research output: Contribution to journalArticle

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