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arXiv · 1307.1930

Nonlinear elliptic equations with high order singularities

Eduardo V. Teixeira
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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.

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Eduardo V. Teixeira. 2013-07-08. Nonlinear elliptic equations with high order singularities. https://arxiv.org/abs/1307.1930

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