Some Caccioppoli estimates for differential forms

DOI10.1155/2009/734528zbMath1176.31015OpenAlexW2044317125WikidataQ59248388 ScholiaQ59248388MaRDI QIDQ1035538

Yuming Xing, Gejun Bao, Zhenhua Cao, Ronglu Li

Publication date: 3 November 2009

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/117828

zbMATH Keywords

Caccioppoli estimatenon-homogeneous \(A\)-harmonic equation

Mathematics Subject Classification ID

Generalizations of potential theory (31C99)

Related Items (1)

The obstacle problem for the \(A\)-harmonic equation

Cites Work

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• The reverse Hölder inequality for the solution to \(p\)-harmonic type system
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
• Weighted integral inequalities for solutions of the \(A\)-harmonic equation
• \(p\)-harmonic tensors and quasiregular mappings
• Local behavior of solutions of quasi-linear equations
• Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for 𝐴-harmonic tensors
• Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds
• The p-Harmonic transform beyond its natural domain of definition

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