Universal potential estimates for \(1 < p \leq 2-\frac{1}{n} \)

DOI10.3934/MINE.2023057arXiv2209.04893OpenAlexW4313511088MaRDI QIDQ6195600

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Publication date: 14 March 2024

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.04893

zbMATH Keywords

pointwise estimatemeasure dataquasilinear equationfractional maximal functionCalderón spaceWolff's potentialpotential estimateRiesz's potential\( p \)-Laplacian

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Elliptic equations and elliptic systems (35Jxx)

Cites Work

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• Universal potential estimates
• Gradient estimates via linear and nonlinear potentials
• Gradient potential estimates
• The Wiener test and potential estimates for quasilinear elliptic equations
• Linear potentials in nonlinear potential theory
• Gradient estimates for singular parabolic \(p\)-Laplace type equations with measure data
• Pointwise gradient estimates for a class of singular quasilinear equations with measure data
• Good-\(\lambda \) and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications
• Gradient estimates via non-linear potentials
• Maximal functions measuring smoothness
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• On the weak continuity of elliptic operators and applications to potential theory
• A comparison estimate for singular \(p\)-Laplace equations and its consequences

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