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

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.

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Bibliographic Details
Main Authors: Loredana Caso, Roberta D’Ambrosio, Maria Transirico
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/635035
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