학술논문

Infinity Laplacian equations with singular absorptions.
Document Type
Article
Source
Calculus of Variations & Partial Differential Equations. Aug2022, Vol. 61 Issue 4, p1-16. 16p.
Subject
*ABSORPTION
*EQUATIONS
Language
ISSN
0944-2669
Abstract
In this work, we study regularity properties for nonvariational singular elliptic equations ruled by the infinity Laplacian. We obtain optimal C 1 , α regularity along the free boundary. We also show existence of solutions, nondegeneracy properties and fine geometric estimates for the free boundary. [ABSTRACT FROM AUTHOR]