Regularity results for the gradient of solutions of a class of linear elliptic systems with \(L^{1,\lambda }\) data

DOI10.1016/j.na.2007.04.004zbMath1187.35050OpenAlexW2042732936MaRDI QIDQ927930

Giuseppa Rita Cirmi, A.I.Kozhanov, Salvatore Leonardi

Publication date: 10 June 2008

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/j.na.2007.04.004

zbMATH Keywords

regularityMorrey spacelinear elliptic systems

Mathematics Subject Classification ID

First-order elliptic systems (35J46)

Related Items (16)

Morrey estimates for some classes of elliptic equations with a lower order term ⋮ Fractional differentiability for solutions of a class of parabolic systems with \(L^{1,\theta}\)-data ⋮ Smallness and cancellation in some elliptic systems with measure data ⋮ Existence of Hölder continuous solutions for a class of degenerate fourth-order elliptic equations ⋮ Morrey estimates for a class of elliptic equations with drift term ⋮ Morrey estimates for solutions of singular quadratic nonlinear equations ⋮ Construction of solutions to parabolic and hyperbolic initial–boundary value problems ⋮ Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients ⋮ Bounded solutions of fourth-order nonlinear elliptic equations with convection terms ⋮ Gradient estimates below duality exponent for a class of linear elliptic systems ⋮ Fourth-order nonlinear elliptic equations with lower order term and natural growth conditions ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ Regularity up to the boundary for the gradient of solutions of linear elliptic systems withVMO-coefficients andL^1,λdata ⋮ Hölder continuity up to the boundary of solutions to nonlinear fourth-order elliptic equations with natural growth terms ⋮ Generalizing Hopf’s Boundary Point Lemma

Cites Work

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• Nonlinear Elliptic Equations with Right Hand Side Measures
• Uniqueness and maximal regularity for nonlinear elliptic systems of n--Laplace type with measure valued right hand side
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
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