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.
Density estimates for phase transitions with a trace / Y. Sire, E. Valdinoci. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - 14:2(2012), pp. 153-165.
Density estimates for phase transitions with a trace
E. Valdinoci
2012
Abstract
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.
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