Limit search to available items
Book Cover
Author Valdinoci, Enrico, 1974-

Title Flat level set regularity of p-Laplace phase transitions / Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
Published Providence, RI : American Mathematical Society, 2006


Description 1 online resource (vi, 144 pages) : illustrations
Series Memoirs of the American Mathematical Society, 1947-6221 ; v. 858
Memoirs of the American Mathematical Society ; no. 858. 0065-9266
Contents 1. Introduction 2. Modifications of the potential and of one-dimensional solutions 3. Geometry of the touching points 4. Measure theoretic results 5. Estimates on the measure of the projection of the contact set 6. Proof of Theorem 1.1 7. Proof of Theorem 1.2 8. Proof of Theorem 1.3 9. Proof of Theorem 1.4
Summary 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
Notes "July 2006, volume 182, number 858 (second of 4 numbers)."
Bibliography Includes bibliographical references (pages 143-144)
Notes Print version record
Subject Geometry, Differential.
Laplacian operator.
Level set methods.
Geometry, Differential.
Laplacian operator.
Level set methods.
Form Electronic book
Author Sciunzi, Berardino
Savin, Vasile Ovidiu, 1977-
ISBN 9781470404628