Generalized Poincaré inequalities for solutions to the \(A\)-harmonic equation in certain domains

DOI10.1006/jmaa.2000.6951zbMath0971.31006OpenAlexW2090299625MaRDI QIDQ1840528

Shusen Ding, Bing Liu

Publication date: 31 October 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6951

zbMATH Keywords

Poincaré inequality\(A\)-harmonic equation\(A\)-harmonic tensor

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (3)

Advances in study of Poincaré inequalities and related operators ⋮ Characterization of the non-homogenous Dirac-harmonic equation ⋮ Dirac-harmonic equations for differential forms

Cites Work

• Unnamed Item
• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Convexity conditions and existence theorems in nonlinear elasticity
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• \(L^{s}(\mu)\)-averaging domains
• Quasiregular mappings in even dimensions
• \(p\)-harmonic tensors and quasiregular mappings
• L^p-averaging domains and the Poincaré inequality
• A Quasiregular Analogue of a Theorem of Hardy and Littlewood
• Weighted Hardy-Littlewood inequality for 𝐴-harmonic tensors

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