A failing in the Calderon-Zygmund theory of Dirichlet problems for linear equations with discontinuous coefficients

DOI10.4171/RLM/703zbMath1330.35491MaRDI QIDQ2354083

Boccardo, Lucio

Publication date: 10 July 2015

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemsCalderon-Zygmund theorylinear equations with discontinuous coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs with low regular coefficients and/or low regular data (35R05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

• \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory
• Elliptic operators, conormal derivatives and positive parts of functions (with an appendix by Haïm Brezis)
• Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data
• Nonlinear elliptic and parabolic equations involving measure data
• On a conjecture of J. Serrin
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• On the existence of certain singular integrals
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Strongly nonlinear elliptic equations having natural growth terms and L1 data
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