Weak reverse Hölder inequalities and imbedding inequalities for solutions to the \(A\)-harmonic equation

DOI10.1016/S0362-546X(01)00862-8zbMath1012.31006OpenAlexW2066906670MaRDI QIDQ1849004

Donna Sylvester, Shusen Ding

Publication date: 28 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00862-8

zbMATH Keywords

differential formshomotopy operatorembedding inequalities\(A\)-harmonic equation

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Integral geometry (53C65) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items

Advances in differential forms and the \(A\)-harmonic equation, Norms of the composition of the maximal and projection operators, Some higher norm inequalities for composition of power operators

Cites Work

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• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Convexity conditions and existence theorems in nonlinear elasticity
• Weighted Poincaré-type inequalities for differential forms in \(L^s(\mu)\)-averaging domains
• Some examples of conjugate \(P\)-harmonic differential forms
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Integral estimates for null Lagrangians