An Lp-Estimate for Weak Solutions of Elliptic Equations
We prove an Lp-a priori bound, p>2, for solutions of second order linear elliptic partial differential equations in divergence form with discontinuous coefficients in unbounded domains.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/376179 |
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| _version_ | 1832566937974996992 |
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| author | Sara Monsurrò Maria Transirico |
| author_facet | Sara Monsurrò Maria Transirico |
| author_sort | Sara Monsurrò |
| collection | DOAJ |
| description | We prove an Lp-a priori bound, p>2, for solutions of second order linear elliptic partial differential equations in divergence form with discontinuous coefficients in unbounded domains. |
| format | Article |
| id | doaj-art-2babef2351724c98b04bcb0f023a2e54 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2babef2351724c98b04bcb0f023a2e542025-02-03T01:02:45ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/376179376179An Lp-Estimate for Weak 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 prove an Lp-a priori bound, p>2, for solutions of second order linear elliptic partial differential equations in divergence form with discontinuous coefficients in unbounded domains.http://dx.doi.org/10.1155/2012/376179 |
| spellingShingle | Sara Monsurrò Maria Transirico An Lp-Estimate for Weak Solutions of Elliptic Equations Abstract and Applied Analysis |
| title | An Lp-Estimate for Weak Solutions of Elliptic Equations |
| title_full | An Lp-Estimate for Weak Solutions of Elliptic Equations |
| title_fullStr | An Lp-Estimate for Weak Solutions of Elliptic Equations |
| title_full_unstemmed | An Lp-Estimate for Weak Solutions of Elliptic Equations |
| title_short | An Lp-Estimate for Weak Solutions of Elliptic Equations |
| title_sort | lp estimate for weak solutions of elliptic equations |
| url | http://dx.doi.org/10.1155/2012/376179 |
| work_keys_str_mv | AT saramonsurro anlpestimateforweaksolutionsofellipticequations AT mariatransirico anlpestimateforweaksolutionsofellipticequations AT saramonsurro lpestimateforweaksolutionsofellipticequations AT mariatransirico lpestimateforweaksolutionsofellipticequations |