Flat Level Set Regularity of P-laplace Phase Transitions

, by Valdinoci, Enrico; Sciunzi, Berardino; Savin, Vasile Ovidiu

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ISBN: 9780821839102 | 0821839101
Cover: Paperback
Copyright: 6/30/2006

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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.

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Introduction
Modifications of the potential and of one-dimensional solutions
Geometry of the touching points
Measure theoretic results
Estimates on the measure of the projection of the contact set
Proof of Theorem 1.1
Proof of Theorem 1.2
Proof of Theorem 1.3
Proof of Theorem 1.4
Proof of the measure theoretic results
Summary of elementary lemmata
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

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Flat Level Set Regularity of P-laplace Phase Transitions

Summary

Table of Contents

Supplemental Materials

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Flat Level Set Regularity of P-laplace Phase Transitions

Summary

Table of Contents

Supplemental Materials

Digital License