A Caccioppoli inequality and partial regularity in the calculus of variations

DOI10.1017/S0308210500018710zbMath0679.49008MaRDI QIDQ4728890

Ronald F. Gariepy

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

partial regularityCaccioppoli inequalityuniform strict quasiconvexity

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (5)

Weighted integral inequalities for solutions of the \(A\)-harmonic equation ⋮ Two-weight Caccioppoli inequalities for solutions of nonhomogeneous 𝐴-harmonic equations on Riemannian manifolds ⋮ Green’s Operator and Differential Forms ⋮ Advances in differential forms and the \(A\)-harmonic equation ⋮ Caccioppoli-type estimates for a class of nonlinear differential operators

Cites Work

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• \(C^{1,\alpha}\) partial regularity of functions minimising quasiconvex integrals
• Quasiconvexity and partial regularity in the calculus of variations
• A regularity theorem for minimizers of quasiconvex integrals
• Nonlinear elliptic systems with quadratic growth
• Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi-lineari
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Semicontinuity problems in the calculus of variations

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