On the regularity of very weak minima

DOI10.1017/S0308210500022745zbMath0851.49026MaRDI QIDQ4879061

Daniela Giachetti, Rosanna Schianchi, Francesco Leonetti

Publication date: 21 November 1996

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

zbMATH Keywords

minimizersregularity theoryhigher integrability

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60)

Related Items (8)

Convergence of very weak solutions to \(A\)-Dirac equations in Clifford analysis ⋮ Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations ⋮ Global higher integrability for the gradient of very weak solutions of a class of nonlinear elliptic systems. ⋮ Higher differentiability and integrability for some nonlinear elliptic systems with growth coefficients in \textit{BMO} ⋮ Regularity for \(p\)-harmonic equations with right-hand side in Orlicz-Zygmund classes ⋮ Optimal partial regularity of very weak solutions to nonhomogeneous A-harmonic systems ⋮ Nonlinear Hodge theory on manifolds with boundary ⋮ Higher integrability via Riesz transforms and interpolation.

Cites Work

• On the regularity of the minima of variational integrals
• Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
• A transmission problem in the calculus of variations
• \(p\)-harmonic tensors and quasiregular mappings
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• On very weak solutions of certain elliptic systems
• Weak minima of variational integrals.

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