Flat Level Set Regularity of $p$-Laplace Phase Transitions
Download or Read eBook Flat Level Set Regularity of $p$-Laplace Phase Transitions PDF written by Enrico Valdinoci and published by American Mathematical Soc.. This book was released on 2006 with total page 158 pages. Available in PDF, EPUB and Kindle.
| Author | : Enrico Valdinoci |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 158 |
| Release | : 2006 |
| ISBN-10 | : 9780821839102 |
| ISBN-13 | : 0821839101 |
| Rating | : 4/5 (02 Downloads) |
Book Synopsis Flat Level Set Regularity of $p$-Laplace Phase Transitions by : Enrico Valdinoci
Book excerpt: 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.
