Global estimates for compositions of operators applied to differential forms

DOI10.1016/J.CAMWA.2004.03.011zbMath1099.58013OpenAlexW2046580111MaRDI QIDQ1770706

Shusen Ding, Yuming Xing, Baoling Wang

Publication date: 7 April 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.03.011

zbMATH Keywords

differential formsgradient operatorglobal estimateshomotopy operatorGreen's operators

Mathematics Subject Classification ID

Differential forms in global analysis (58A10) General theory of linear operators (47A99) Partial differential equations on manifolds; differential operators (58J99)

Cites Work

• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians
• \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
• New weighted integral inequalities for differential forms in some domains.
• Weighted Poincaré inequalities for solutions to \(A\)-harmonic equations.
• Weighted integral inequalities for solutions of the \(A\)-harmonic equation
• Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for 𝐴-harmonic tensors
• On the weak continuity of elliptic operators and applications to potential theory
• L p Theory of Differential Forms on Manifolds
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