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 -