Caccioppoli's inequality and Legendre-Hadamard condition

DOI10.1007/BF01455535zbMath0561.35027OpenAlexW2049754125MaRDI QIDQ2266377

Mariano Giaquinta, Jiří Souček

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182948

zbMATH Keywords

quasilinear systemCaccioppoli inequalityLegendre-Hadamard condition

Mathematics Subject Classification ID

Related Items (14)

Partial regularity of minimizers of quasiconvex integrals ⋮ Spectral bounds derived from quadratic forms on decomposable tensors ⋮ A note on the Caccioppoli inequality for biharmonic operators ⋮ Orlicz Norm Inequalities for Conjugate Harmonic Forms ⋮ Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds ⋮ Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn's second inequality ⋮ Quasimonotonicity, regularity and duality for nonlinear systems of partial differential equations ⋮ Carathéodory operator of differential forms ⋮ Advances in differential forms and the \(A\)-harmonic equation ⋮ On coercivity and regularity for linear elliptic systems ⋮ Localized Model Reduction for Nonlinear Elliptic Partial Differential Equations: Localized Training, Partition of Unity, and Adaptive Enrichment ⋮ Decomposably non-negative matrices ⋮ A global regularity result for some degenerate elliptic systems ⋮ Global Caccioppoli-type and Poincaré inequalities with Orlicz norms

Cites Work

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• Quasi-minima
• On the regularity of the minima of variational integrals
• Convexity conditions and existence theorems in nonlinear elasticity
• Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi-lineari
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Strict convexity, strong ellipticity, and regularity in the calculus of variations

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