Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains

DOI10.1155/2008/901503zbMath1158.35346OpenAlexW2159384119WikidataQ59218106 ScholiaQ59218106MaRDI QIDQ954845

Sara Monsurrò, Serena Boccia, Maria Transirico

Publication date: 18 November 2008

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55222

zbMATH Keywords

regularityDirichlet problemexistenceuniquenessweighted Sobolev spacessecond-order linear elliptic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25)

Related Items (max. 100)

A priori bounds in \(L^p\) for solutions of elliptic equations in divergence form ⋮ Solvability of the Dirichlet problem in \(W^{2,p}\) for a class of elliptic equations with singular data ⋮ A priori bounds in \(L^p\) and in \(W^{2, p}\) for solutions of elliptic equations

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• Interpolation inequalities in weighted Sobolev spaces
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients

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