TY - JOUR

T1 - Flat level set regularity of p-Laplace phase transitions

AU - Valdinoci, Enrico

AU - Sciunzi, Berardino

AU - Savin, Vasile Ovidiu

PY - 2006/7/1

Y1 - 2006/7/1

N2 - 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.

AB - 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.

KW - De Giorgi conjecture

KW - Geometric and qualitative properties of solutions

KW - Ginzburg-Landau-Allen-Cahn phase transition models

KW - p-Laplacian operator

KW - Sliding methods

UR - http://www.scopus.com/inward/record.url?scp=33646346403&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33646346403

VL - 182

SP - 1

EP - 150

JO - Memoirs of the American Mathematical Society

JF - Memoirs of the American Mathematical Society

SN - 0065-9266

IS - 858

ER -