Zeros for the gradients of weakly \(A\)-harmonic tensors

DOI10.1155/2014/231248zbMath1437.58003OpenAlexW1983571797WikidataQ59050356 ScholiaQ59050356MaRDI QIDQ2336235

Yuxia Tong, Jiantao Gu, Shen-Zhou Zheng

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/231248

Mathematics Subject Classification ID

Hodge theory in global analysis (58A14)

Cites Work

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• Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms
• Weak \({\mathcal WT}_2\)-class of differential forms and weakly \({\mathcal A}\)-harmonic tensors
• \(A_r^{\lambda_3}(\lambda_1,\lambda_2,\Omega )\)-weighted inequalities with Lipschitz and BMO norms
• Optimal regularity for \(A\)-harmonic type equations under the natural growth
• Poincaré inequalities with Luxemburg norms in \(L^{\varphi}(m)\)-averaging domains
• Weighted inequalities for potential operators on differential forms
• The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
• Weighted decomposition estimates for differential forms
• Local regularity and local boundedness results for very weak solutions of obstacle problems
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• Weighted integral inequalities for conjugate \(A\)-harmonic tensors.
• Quasiregular mappings in even dimensions
• Weighted Poincaré inequalities for solutions to \(A\)-harmonic equations.
• On very weak solutions to a class of double obstacle problems
• Inequalities for Differential Forms
• Integrability and Removability Results for Quasiregular Mappings in High Dimensions.
• On weakly A-harmonic tensors

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