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: | , , |
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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832563760674373632 |
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| author | Loredana Caso Roberta D’Ambrosio Maria Transirico |
| author_facet | Loredana Caso Roberta D’Ambrosio Maria Transirico |
| author_sort | Loredana Caso |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-319a0ff998ba4a0eb920bf36a064148e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-319a0ff998ba4a0eb920bf36a064148e2025-02-03T01:12:30ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/635035635035W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular DataLoredana Caso0Roberta D’Ambrosio1Maria Transirico2Dipartimento di Matematica, Università di Salerno, Via Giovanni Paolo II 132, 84084 Fisciano, ItalyDipartimento di Matematica, Università di Salerno, Via Giovanni Paolo II 132, 84084 Fisciano, ItalyDipartimento di Matematica, Università di Salerno, Via Giovanni Paolo II 132, 84084 Fisciano, ItalyWe 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.http://dx.doi.org/10.1155/2015/635035 |
| spellingShingle | Loredana Caso Roberta D’Ambrosio Maria Transirico W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data Abstract and Applied Analysis |
| title | W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data |
| title_full | W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data |
| title_fullStr | W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data |
| title_full_unstemmed | W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data |
| title_short | W2,p-Solvability of the Dirichlet Problem for Elliptic Equations with Singular Data |
| title_sort | w2 p solvability of the dirichlet problem for elliptic equations with singular data |
| url | http://dx.doi.org/10.1155/2015/635035 |
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