Gradient estimates for a class of elliptic systems

DOI10.1007/BF01759317zbMath0819.35019OpenAlexW2046483402MaRDI QIDQ1312945

Gary M. Lieberman

Publication date: 24 August 1995

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01759317

zbMATH Keywords

regularitynonlinear elliptic systemMoser iteration scheme

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60)

Related Items (12)

Sharp regularity for functionals with (\(p\),\(q\)) growth ⋮ Pointwise estimates of solutions to \(2 m\)-order quasilinear elliptic equations with \(m(p, q)\) growth via Wolff potentials ⋮ Hölder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space ⋮ Everywhere differentiability of viscosity solutions to a class of Aronsson's equations ⋮ Regularity of minima: an invitation to the dark side of the calculus of variations. ⋮ Regularity for double phase variational problems ⋮ Time-periodic solutions of quasilinear parabolic differential equations. III: Conormal boundary conditions ⋮ Unnamed Item ⋮ Non-autonomous functionals, borderline cases and related function classes ⋮ Unnamed Item ⋮ Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems ⋮ Regularity for some scalar variational problems under general growth conditions

Cites Work

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• Everywhere-regularity for some quasilinear systems with a lack of ellipticity
• Partial regularity for minimisers of certain functionals having nonquadratic growth
• The conormal derivative problem for elliptic equations of variational type
• Regularity for a class of nonlinear elliptic systems
• Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Boundedness and integrability properties of weak solutions of quasilinear elliptic systems.
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ

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