Nonlinear elliptic equations with high order singularities
Analysis of PDEs
2016-05-16 v5 Differential Geometry
Abstract
We study non-variational degenerate elliptic equations with high order singular structures. No boundary data are imposed and singularities occur along an {\it a priori} unknown interior region. We prove that positive solutions have a universal modulus of continuity that does not depend on their infimum value. We further obtain sharp, quantitative regularity estimates for non-negative limiting solutions.
Keywords
Cite
@article{arxiv.1307.1930,
title = {Nonlinear elliptic equations with high order singularities},
author = {Eduardo V. Teixeira},
journal= {arXiv preprint arXiv:1307.1930},
year = {2016}
}
Comments
Revised