Two-weight Poincaré-type inequalities for differential forms in \(L^s(\mu )\)-averaging domains

DOI10.1016/J.AML.2007.02.003zbMath1144.58003OpenAlexW2003578420MaRDI QIDQ2470351

Yong Wang

Publication date: 14 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.aml.2007.02.003

zbMATH Keywords

differential forms\(L^s(\mu)\)-averaging domainstwo-weight inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Differential forms in global analysis (58A10) Other special methods applied to PDEs (35A25)

Related Items (10)

Embedding theorems for composition of homotopy and projection operators ⋮ Orlicz Norm Inequalities for Conjugate Harmonic Forms ⋮ Higher integrability of Green's operator and homotopy operator ⋮ Integral estimates for the potential operator on differential forms ⋮ Imbedding theorems in Orlicz-Sobolev space of differential forms ⋮ Advances in study of Poincaré inequalities and related operators ⋮ Imbedding inequalities with \(L{\varphi}\)-norms for composite operators ⋮ Poincaré inequalities with Luxemburg norms in \(L^{\varphi}(m)\)-averaging domains ⋮ Poincaré-type inequalities for the homotopy operator with \(L^{\varphi }(\varOmega )\)-norms ⋮ Characterization of the non-homogenous Dirac-harmonic equation

Cites Work

• Advances in differential forms and the \(A\)-harmonic equation
• Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains
• Integral estimates for null Lagrangians
• \(L^{s}(\mu)\)-averaging domains
• Global Poincaré inequalities for Green's operator applied to the solutions of the nonhomogeneous \(A\)-harmonic equation

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