Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415039 | Journal of Functional Analysis | 2016 | 19 Pages |
Abstract
We study regularity properties of solutions to reaction-diffusion equations ruled by the infinity Laplacian operator. We focus our analysis in models presenting plateaus, i.e. regions where a non-negative solution vanishes identically. We obtain sharp geometric regularity estimates for solutions along the boundary of plateaus sets. In particular we show that the (nâϵ)-Hausdorff measure of the plateaus boundary is finite, for a universal number ϵ>0.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Damião J. Araújo, Raimundo Leitão, Eduardo V. Teixeira,