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arXiv · 1011.6617

Density estimates for phase transitions with a trace

Yannick Sire·Enrico Valdinoci
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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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Yannick Sire, Enrico Valdinoci. 2010-11-30. Density estimates for phase transitions with a trace. https://arxiv.org/abs/1011.6617

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