<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Optimal regularity for rupture solutions of the infinity Laplace equation with singular absorptions |
Publication Date: | 2017-12-30 |
Authors: |
- Damião J. Araújo
- José Miguel Urbano |
Abstract: | We consider the nonvariational singular equation, governed by the infinity Laplacian, −∆∞u = u−γ χ{u>0}<(sub>, γ > 1 and obtain optimal C0,αγ local regularity estimates for nonnegative viscosity solutions, where αγ=4/(3 + γ). Through a singular penalized approach, we further obtain the existence of minimal solutions, show they are nondegenerate and derive important geometric properties for the free boundary R(u) = ∂{u > 0}, the so-called rupture set. |
Institution: | DMUC 17-58 |
Online version: | http://www.mat.uc.pt...prints/eng_2017.html |
Download: | Not available |