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

DOI10.1155/2010/767150zbMath1196.35087OpenAlexW2018236156WikidataQ59249877 ScholiaQ59249877MaRDI QIDQ978453

Gejun Bao, Haijing Zhu, Zhenhua Cao

Publication date: 24 June 2010

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

Full work available at URL: https://eudml.org/doc/232721

zbMATH Keywords

differential formsobstacle problem\(A\)-harmonic equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Differential forms in global analysis (58A10) Weak solutions to PDEs (35D30) Applications of functional analysis to differential and integral equations (46N20)

Related Items (1)

The existence of solutions to the nonhomogeneous \(A\)-harmonic equations with variable exponent

Cites Work

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• The reverse Hölder inequality for the solution to \(p\)-harmonic type system
• Some Caccioppoli estimates for differential forms
• 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
• Local and global norm comparison theorems for solutions to the nonhomogeneous A-harmonic equation
• 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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