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