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W2,p‐Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data

Loredana Caso, Roberta D’Ambrosio and Maria Transirico

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

Abstract: We give an overview on some results concerning the unique solvability of the Dirichlet problem in W2,p, p > 1, for second‐order linear elliptic partial differential equations in nondivergence form and with singular data in weighted Sobolev spaces. We also extend such results to the planar case.

Date: 2015
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https://doi.org/10.1155/2015/635035

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:635035

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