A Priori Bounds in and in for Solutions of Elliptic Equations
We give an overview on some recent results concerning the study of the Dirichlet problem for second-order linear elliptic partial differential equations in divergence form and with discontinuous coefficients, in unbounded domains. The main theorem consists in an -a priori bound, . Some applications...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/650870 |
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| _version_ | 1849408431209840640 |
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| author | Sara Monsurrò Maria Transirico |
| author_facet | Sara Monsurrò Maria Transirico |
| author_sort | Sara Monsurrò |
| collection | DOAJ |
| description | We give an overview on some recent results
concerning the study of the Dirichlet problem for second-order
linear elliptic partial differential equations in divergence form and
with discontinuous coefficients, in unbounded domains. The main
theorem consists in an -a priori bound, . Some applications
of this bound in the framework of non-variational problems, in a
weighted and a non-weighted case, are also given. |
| format | Article |
| id | doaj-art-7a1544cbfde344d8a69df500c0fd89bc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7a1544cbfde344d8a69df500c0fd89bc2025-08-20T03:35:47ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/650870650870A Priori Bounds in and in for Solutions of Elliptic EquationsSara Monsurrò0Maria Transirico1Dipartimento di Matematica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano, ItalyDipartimento di Matematica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano, ItalyWe give an overview on some recent results concerning the study of the Dirichlet problem for second-order linear elliptic partial differential equations in divergence form and with discontinuous coefficients, in unbounded domains. The main theorem consists in an -a priori bound, . Some applications of this bound in the framework of non-variational problems, in a weighted and a non-weighted case, are also given.http://dx.doi.org/10.1155/2013/650870 |
| spellingShingle | Sara Monsurrò Maria Transirico A Priori Bounds in and in for Solutions of Elliptic Equations Abstract and Applied Analysis |
| title | A Priori Bounds in and in for Solutions of Elliptic Equations |
| title_full | A Priori Bounds in and in for Solutions of Elliptic Equations |
| title_fullStr | A Priori Bounds in and in for Solutions of Elliptic Equations |
| title_full_unstemmed | A Priori Bounds in and in for Solutions of Elliptic Equations |
| title_short | A Priori Bounds in and in for Solutions of Elliptic Equations |
| title_sort | priori bounds in and in for solutions of elliptic equations |
| url | http://dx.doi.org/10.1155/2013/650870 |
| work_keys_str_mv | AT saramonsurro aprioriboundsinandinforsolutionsofellipticequations AT mariatransirico aprioriboundsinandinforsolutionsofellipticequations AT saramonsurro prioriboundsinandinforsolutionsofellipticequations AT mariatransirico prioriboundsinandinforsolutionsofellipticequations |