An anisotropic monotoncity formula, with applications to some segregation problems
Analysis of PDEs
2020-04-21 v1
Abstract
We prove an Alt-Caffarelli-Friedman montonicity formula for pairs of functions solving elliptic equations driven by different ellipticity matrices in their positivity sets. As application, we derive Liouville-type theorems for subsolutions of some elliptic systems, and we analyze segregation phenomena for systems of equations where the diffusion of each density is described by a different operator.
Cite
@article{arxiv.2004.08853,
title = {An anisotropic monotoncity formula, with applications to some segregation problems},
author = {Nicola Soave and Susanna Terracini},
journal= {arXiv preprint arXiv:2004.08853},
year = {2020}
}