num_pages: 144
description: 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.
language: English
title: Flat Level Set Regularity of P-laplace Phase Transitions
titlecomplete: Flat Level Set Regularity of P-laplace Phase Transitions (Memoirs of the American Mathematical Society)
ratings_count: 1
publisher: American Mathematical Society