A Comparison Estimate for Singular p-Laplace Equations and Its Consequences

Document Type

Article

Publication Date

6-1-2023

Abstract

Comparison estimates are an important technical device in the study of regularity problems for quasilinear possibly degenerate elliptic and parabolic equations. Such tools have been employed indispensably in the papers of Mingione, Duzaar–Mingione, and Kuusi–Mingione, etc. on certain measure datum problems to obtain pointwise bounds for solutions and their full or fractional derivatives in terms of appropriate linear or nonlinear potentials. However, a comparison estimate for p-Laplace type elliptic equations with measure data is still unavailable in the strongly singular case 1

Publication Source (Journal or Book title)

Archive for Rational Mechanics and Analysis

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