| 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 |
|
1470404621 |
|
