Weighted integral inequalities for conjugate \(A\)-harmonic tensors.

DOI10.1016/S0022-247X(03)00095-7zbMath1163.35373MaRDI QIDQ1399316

Hongya Gao

Publication date: 30 July 2003

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

zbMATH Keywords

quasiregular mappingdomainweighted integral inequalityconjugate \(A\)-harmonic tensor\(L^s(\mu)\)-averaging

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Vector and tensor algebra, theory of invariants (15A72) Nonlinear elliptic equations (35J60)

Related Items (3)

Weighted inequalities for potential operators with Lipschitz and BMO norms ⋮ Zeros for the gradients of weakly \(A\)-harmonic tensors ⋮ Higher integrability for very weak solutions of inhomogeneous \(A\)-harmonic form equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convexity conditions and existence theorems in nonlinear elasticity
• Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains
• Some examples of conjugate \(P\)-harmonic differential forms
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
• Global integrability theorems for \(A\)-harmonic tensors
• New weighted integral inequalities for differential forms in some domains.
• Quasiregular mappings in even dimensions
• \(p\)-harmonic tensors and quasiregular mappings
• L^p-averaging domains and the Poincaré inequality
• Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for 𝐴-harmonic tensors
• Weighted Hardy-Littlewood inequality for 𝐴-harmonic tensors
• On weakly A-harmonic tensors

This page was built for publication: Weighted integral inequalities for conjugate \(A\)-harmonic tensors.