Elliptic equations with discontinuous coefficients in unbounded domains of R^2
In this paper we are concerned with second order elliptic equations in unbounded domains <em>Ω</em> of <em>R^2</em> . We establish existence and uniqueness theorems under the assumptions that the leading coefficients are bounded and measurable in <em>Ω</em> and sa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
1996-10-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/436 |
| _version_ | 1828837206048899072 |
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| author | Mario Troisi Antonio Vitolo |
| author_facet | Mario Troisi Antonio Vitolo |
| author_sort | Mario Troisi |
| collection | DOAJ |
| description | In this paper we are concerned with second order elliptic equations in unbounded domains <em>Ω</em> of <em>R^2</em> . We establish existence and uniqueness theorems under the assumptions that the leading coefficients are bounded and measurable in <em>Ω</em> and satisfy a suitable condition at infinity.<br /> |
| first_indexed | 2024-12-12T18:36:07Z |
| format | Article |
| id | doaj.art-f456226a04a246d0812daad6e1568942 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-12T18:36:07Z |
| publishDate | 1996-10-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-f456226a04a246d0812daad6e15689422022-12-22T00:15:47ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981996-10-01512203220408Elliptic equations with discontinuous coefficients in unbounded domains of R^2Mario TroisiAntonio VitoloIn this paper we are concerned with second order elliptic equations in unbounded domains <em>Ω</em> of <em>R^2</em> . We establish existence and uniqueness theorems under the assumptions that the leading coefficients are bounded and measurable in <em>Ω</em> and satisfy a suitable condition at infinity.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/436 |
| spellingShingle | Mario Troisi Antonio Vitolo Elliptic equations with discontinuous coefficients in unbounded domains of R^2 Le Matematiche |
| title | Elliptic equations with discontinuous coefficients in unbounded domains of R^2 |
| title_full | Elliptic equations with discontinuous coefficients in unbounded domains of R^2 |
| title_fullStr | Elliptic equations with discontinuous coefficients in unbounded domains of R^2 |
| title_full_unstemmed | Elliptic equations with discontinuous coefficients in unbounded domains of R^2 |
| title_short | Elliptic equations with discontinuous coefficients in unbounded domains of R^2 |
| title_sort | elliptic equations with discontinuous coefficients in unbounded domains of r 2 |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/436 |
| work_keys_str_mv | AT mariotroisi ellipticequationswithdiscontinuouscoefficientsinunboundeddomainsofr2 AT antoniovitolo ellipticequationswithdiscontinuouscoefficientsinunboundeddomainsofr2 |