Density estimates for phase transitions with a trace

作者：Sire Yannick^*; Valdinoci Enrico

来源：Interfaces and Free Boundaries, 2012, 14(2): 153-165.

DOI：10.4171/IFB/277

• Singular and degenerate boundary reaction equations
• measure theoretic estimates of the level lets of phase transition layers

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. %26lt;br%26gt;We treat in a unified way also the cases of possible degeneracy and singularity of the ellipticity of the model and the quasiminimal case.

• 出版日期2012