05-48 Enrico Valdinoci, Berardino Sciunzi, Vasile Ovidiu Savin
Flat level set regularity of $p$-Laplace phase transitions (1538K, LaTeX) Feb 4, 05
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. 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.

Files: 05-48.src( desc , 05-48.ps )