To a nonlocal generalization of the Dirichlet problem
<p/> <p>A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are proved in a weighted Sobolev space.</p>
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2006/93858 |
| _version_ | 1818259764825554944 |
|---|---|
| author | Berikelashvili Givi |
| author_facet | Berikelashvili Givi |
| author_sort | Berikelashvili Givi |
| collection | DOAJ |
| description | <p/> <p>A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are proved in a weighted Sobolev space.</p> |
| first_indexed | 2024-12-12T18:20:38Z |
| format | Article |
| id | doaj.art-4b0252bc87e4477aa97c34812178b872 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-12T18:20:38Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-4b0252bc87e4477aa97c34812178b8722022-12-22T00:16:09ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2006-01-012006193858To a nonlocal generalization of the Dirichlet problemBerikelashvili Givi<p/> <p>A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are proved in a weighted Sobolev space.</p>http://www.journalofinequalitiesandapplications.com/content/2006/93858 |
| spellingShingle | Berikelashvili Givi To a nonlocal generalization of the Dirichlet problem Journal of Inequalities and Applications |
| title | To a nonlocal generalization of the Dirichlet problem |
| title_full | To a nonlocal generalization of the Dirichlet problem |
| title_fullStr | To a nonlocal generalization of the Dirichlet problem |
| title_full_unstemmed | To a nonlocal generalization of the Dirichlet problem |
| title_short | To a nonlocal generalization of the Dirichlet problem |
| title_sort | to a nonlocal generalization of the dirichlet problem |
| url | http://www.journalofinequalitiesandapplications.com/content/2006/93858 |
| work_keys_str_mv | AT berikelashviligivi toanonlocalgeneralizationofthedirichletproblem |