Global Caccioppoli-type and Poincaré inequalities with Orlicz norms

DOI10.1155/2010/727954zbMath1196.35086OpenAlexW1984232470WikidataQ59254784 ScholiaQ59254784MaRDI QIDQ978445

Ravi P. Agarwal, Shusen Ding

Publication date: 24 June 2010

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

Full work available at URL: https://eudml.org/doc/228197

zbMATH Keywords

Poincaré inequality\(A\)-harmonic equationCaccioppoli-type inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Applications of functional analysis to differential and integral equations (46N20)

Related Items (1)

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

Cites Work

• Global weighted inequalities for operators and harmonic forms on manifolds
• Advances in differential forms and the \(A\)-harmonic equation
• Norm comparison inequalities for the composite operator
• On the regularity of the minima of variational integrals
• Global higher integrability of Jacobians on bounded domains
• \(A_r (\lambda)\)-weighted integral inequalities for \(A\)-harmonic tensors
• Weighted integral inequalities for solutions of the \(A\)-harmonic equation
• Caccioppoli's inequality and Legendre-Hadamard condition
• Weighted Poincaré-type estimates for conjugate \(A\)-harmonic tensors
• Inequalities for Differential Forms
• Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions
• Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds

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