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

DOI10.1007/s10231-005-0167-3zbMath1232.35042OpenAlexW2004144926MaRDI QIDQ661089

Giuseppa Rita Cirmi, Salvatore Leonardi

Publication date: 18 February 2012

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/s10231-005-0167-3

zbMATH Keywords

elliptic equationsmeasure data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order elliptic equations (35J15)

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Global Integrability for Solutions to Obstacle Problems, Morrey estimates for some classes of elliptic equations with a lower order term, Gradient estimates below the duality exponent, 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, Regularity for minimizing sequences of some variational integrals, Regularity results for solutions of a class of parabolic systems with measure data, Regularity for entropy solutions to degenerate elliptic equations with a convection term, Existence of solutions to some quasilinear degenerate elliptic systems with right hand side in a Marcinkiewicz space, Construction of solutions to parabolic and hyperbolic initial–boundary value problems, Regularity results for the gradient of solutions of a class of linear elliptic systems with \(L^{1,\lambda }\) data, Global integrability for solutions to quasilinear elliptic systems, Regularity results for solutions of nonlinear elliptic equations with \(L^{1,\lambda }\) data, Elliptic systems with measure data, Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients, Bounded solutions of fourth-order nonlinear elliptic equations with convection terms, Quasilinear elliptic systems with measure data, Nonlinear elliptic equations with lower order terms and \(L^{1,\lambda }\)-data, Gradient estimates below duality exponent for a class of linear elliptic systems, Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems, 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

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