\(A_{p}\)-weight and integrability of solutions in obstacle problems

DOI10.1016/j.na.2011.03.065zbMath1218.31014OpenAlexW2009426104MaRDI QIDQ548622

Cheng-Jun He

Publication date: 29 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.03.065

zbMATH Keywords

obstacle problem\(A_{p}\)-weight

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Free boundary problems for PDEs (35R35) Other generalizations (nonlinear potential theory, etc.) (31C45)

Cites Work

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• Remarks on the regularity of weak solutions to some variational inequalities
• Higher regularity of the solution to the \(p\)-Laplacian obstacle problem
• Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
• The regularity of free boundaries in higher dimensions
• The obstacle problem revisited
• Stability and higher integrability of derivatives of solutions in double obstacle problems
• A note on \(A_p\) weights: Pasting weights and changing variables.
• A Two Weight Weak Type Inequality for Fractional Integrals
• Interior regularity for solutions to obstacle problems
• A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
• On pasting 𝐴_{𝑝}-weights
• BoundaryC1,α regularity for variational inequalities
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Global integrability of the gradients of solutions to partial differential equations
• Weighted Norm Inequalities for Fractional Integrals
• Weighted Norm Inequalities for the Hardy Maximal Function

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