Infinity Laplacian equations with singular absorptions
Analysis of PDEs
2022-05-18 v2
Abstract
In this work, we study regularity properties for nonvariational singular elliptic equations ruled by the infinity Laplacian. We obtain optimal regularity along the free boundary. We also show existence of solutions, nondegeneracy properties and fine geometric estimates for the free boundary.
Cite
@article{arxiv.2101.05882,
title = {Infinity Laplacian equations with singular absorptions},
author = {Damião J. Araújo and Ginaldo de Santana Sá},
journal= {arXiv preprint arXiv:2101.05882},
year = {2022}
}