We prove a Harnack inequality for level sets of p-Laplace phase transition minimizers. In particular, if a level set is included in a fiat 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.
|Number of pages||150|
|Journal||Memoirs of the American Mathematical Society|
|Publication status||Published - 1 Jul 2006|