The Dirichlet Problem for elliptic equations in unbounded domains of the plane
In this paper we prove a uniqueness and existence theorem for the Dirichlet problem in W2,p for second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/872891 |
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| _version_ | 1832552152971608064 |
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| author | Paola Cavaliere Maria Transirico |
| author_facet | Paola Cavaliere Maria Transirico |
| author_sort | Paola Cavaliere |
| collection | DOAJ |
| description | In this paper we prove a uniqueness and existence theorem for the Dirichlet problem in W2,p for second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity. |
| format | Article |
| id | doaj-art-386eba05a1f44dcd986daae98abaa476 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-386eba05a1f44dcd986daae98abaa4762025-02-03T05:59:23ZengWileyJournal of Function Spaces and Applications0972-68022008-01-0161475810.1155/2008/872891The Dirichlet Problem for elliptic equations in unbounded domains of the planePaola Cavaliere0Maria Transirico1Dipartimento di Matematica e Informatica, Facoltà di Scienze MM.FF.NN., Università di Salerno, via Ponte Don Melillo, I 84084 Fisciano (SA), ItalyDipartimento di Matematica e Informatica, Facoltà di Scienze MM.FF.NN., Università di Salerno, via Ponte Don Melillo, I 84084 Fisciano (SA), ItalyIn this paper we prove a uniqueness and existence theorem for the Dirichlet problem in W2,p for second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity.http://dx.doi.org/10.1155/2008/872891 |
| spellingShingle | Paola Cavaliere Maria Transirico The Dirichlet Problem for elliptic equations in unbounded domains of the plane Journal of Function Spaces and Applications |
| title | The Dirichlet Problem for elliptic equations in unbounded domains of the plane |
| title_full | The Dirichlet Problem for elliptic equations in unbounded domains of the plane |
| title_fullStr | The Dirichlet Problem for elliptic equations in unbounded domains of the plane |
| title_full_unstemmed | The Dirichlet Problem for elliptic equations in unbounded domains of the plane |
| title_short | The Dirichlet Problem for elliptic equations in unbounded domains of the plane |
| title_sort | dirichlet problem for elliptic equations in unbounded domains of the plane |
| url | http://dx.doi.org/10.1155/2008/872891 |
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