Nonlinear Elliptic Equations With Mixed Singularities

Keywords

Regularity theory; Singular PDEs

Abstract

We study non-variational degenerate elliptic equations with mixed singular structures, both at the set of critical points and on the ground touching points. No boundary data are imposed and singularities occur along an 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.

Publication Date

4-1-2018

Publication Title

Potential Analysis

Volume

48

Issue

3

Number of Pages

325-335

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11118-017-9637-7

Socpus ID

85021762732 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85021762732

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