Poincaré-type inequalities with \(L^p(\log L)^\alpha\)-norms for Green's operator

DOI10.1016/J.CAMWA.2010.09.029zbMath1207.58022OpenAlexW2077171935MaRDI QIDQ630656

Hui Bi, Yuming Xing

Publication date: 19 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.09.029

zbMATH Keywords

Poincaré-type inequalitiesGreen's operatorA-harmonic equation\(L^p(\log L)^\alpha\)

Mathematics Subject Classification ID

Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (7)

Lipschitz and BMO norm inequalities for the composition operator on differential forms ⋮ Higher integrability of iterated operators on differential forms ⋮ Green’s Operator and Differential Forms ⋮ Integral estimates for the potential operator on differential forms ⋮ Integral Norm Inequalities for Various Operators on Differential Forms ⋮ Norm inequalities for composition of the Dirac and Green's operators ⋮ Dirac-harmonic equations for differential forms

Cites Work

• Global weighted inequalities for operators and harmonic forms on manifolds
• Global Caccioppoli-type and Poincaré inequalities with Orlicz norms
• The monotonic property of \(L^s(\mu)\)-averaging domains and weighted weak reverse Hölder inequality
• Differential forms and applications. Transl. from the Portuguese
• Global integrability theorems for \(A\)-harmonic tensors
• Global Poincaré inequalities for Green's operator applied to the solutions of the nonhomogeneous \(A\)-harmonic equation
• \(L^{\varphi}(\mu)\)-averaging domains and the quasi-hyperbolic metric
• Global integrability of the Jacobian of a composite mapping
• Inequalities for Differential Forms
• Inserting A p -Weights
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• Unnamed Item

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