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.
Cite this article
Yannick Sire, Enrico Valdinoci, Density estimates for phase transitions with a trace. Interfaces Free Bound. 14 (2012), no. 2, pp. 153–165DOI 10.4171/IFB/277