We consider a functional obtained by adding a trace term to the Allen-Cahn phase segregation model and we prove some density estimates for the level sets of the interfaces. We treat in a unified way also the cases of possible degeneracy and singularity of the ellipticity of the model and the quasiminimal case.
Classification :
35-XX, 82-XX, 00-XX
Mots-clés :
Singular and degenerate boundary reaction equations, measure theoretic estimates of the level lets of phase transition layers
Affiliations des auteurs :
Yannick Sire
1
;
Enrico Valdinoci
2
1
Université Aix-Marseille, Marseille, France
2
Università degli Studi di Milano, Italy
Yannick Sire; Enrico Valdinoci. Density estimates for phase transitions with a trace. Interfaces and free boundaries, Tome 14 (2012) no. 2, pp. 153-165. doi: 10.4171/ifb/277
@article{10_4171_ifb_277,
author = {Yannick Sire and Enrico Valdinoci},
title = {Density estimates for phase transitions with a trace},
journal = {Interfaces and free boundaries},
pages = {153--165},
year = {2012},
volume = {14},
number = {2},
doi = {10.4171/ifb/277},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/277/}
}
TY - JOUR
AU - Yannick Sire
AU - Enrico Valdinoci
TI - Density estimates for phase transitions with a trace
JO - Interfaces and free boundaries
PY - 2012
SP - 153
EP - 165
VL - 14
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/277/
DO - 10.4171/ifb/277
ID - 10_4171_ifb_277
ER -
%0 Journal Article
%A Yannick Sire
%A Enrico Valdinoci
%T Density estimates for phase transitions with a trace
%J Interfaces and free boundaries
%D 2012
%P 153-165
%V 14
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/277/
%R 10.4171/ifb/277
%F 10_4171_ifb_277
