Description 
1 online resource (vi, 144 pages) : illustrations 
Series 
Memoirs of the American Mathematical Society, 19476221 ; v. 858 

Memoirs of the American Mathematical Society ; no. 858. 00659266

Contents 
1. Introduction 2. Modifications of the potential and of onedimensional 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 143144) 
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 

1470404621 
