The Dirichlet problem for second order elliptic equations with singular data

DOI10.1007/BF02907048zbMath0910.35041MaRDI QIDQ1280252

Maria Transirico, Loredana Caso

Publication date: 14 March 1999

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev spacesunique solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (4)

A priori bounds in weighted spaces. ⋮ On the maximum principle for elliptic operators in weighted spaces ⋮ Solvability of the Dirichlet problem in \(W^{2,p}\) for a class of elliptic equations with singular data ⋮ Uniqueness results for elliptic problems with singular data

Cites Work

• Second order elliptic equations whose coefficients have their first derivatives weakly-\(L^ n\)
• Second order elliptic equations of variational type in unbounded domains
• Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains
• A generalization of a theorem by C. Miranda
• Teoremi di unicita in domini non limitati e teoremi di Liouville per le soluzioni dei problemi al contorno relativi alle equazioni ellittiche
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• Teoremi di inclusione negli spazi di Sobolev con peso
• Dirichlet problem for a class of linear second order elliptic partial differential equations with discontinuous coefficients
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