Flat Level Set Regularity of P-Laplace Phase Transitions

Author/creator Valdinoci, Enrico, 1974- Author
Other author Sciunzi, Berardino Author
Other author Savin, Vasile Ovidiu 1977- Author
Format Electronic
Publication InfoProvidence : American Mathematical Society
Description144 p. ill
Supplemental ContentFull text available from Memoirs of the American Mathematical Society - Backfile
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects

SeriesMemoirs of the American Mathematical Society Ser. 182
Summary Annotation 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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Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2006042822
ISBN9780821839102
ISBN0821839101 (Trade Paper) Active Record
Standard identifier# 9780821839102
Stock number00001436