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.
- ISBN13 9780821839102
- Publish Date 1 July 2006
- Publish Status Active
- Publish Country US
- Imprint American Mathematical Society
- Edition illustrated Edition
- Format Paperback
- Pages 144
- Language English