Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method
By means of the Galerkin method and by using a suitable version of the Brouwer fixed-point theorem, we establish the existence of at least one positive solution of a nonlocal elliptic N-dimensional system coupled with Dirichlet boundary conditions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/137379 |
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| _version_ | 1832559477659795456 |
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| author | Alberto Cabada Francisco Julio S. A. Corrêa |
| author_facet | Alberto Cabada Francisco Julio S. A. Corrêa |
| author_sort | Alberto Cabada |
| collection | DOAJ |
| description | By means of the Galerkin method and by using a suitable version of the Brouwer fixed-point theorem, we establish the existence of at least one positive solution of a nonlocal elliptic N-dimensional system coupled with Dirichlet boundary conditions. |
| format | Article |
| id | doaj-art-2ca44d3684ca48999ce8535f6ab1514c |
| 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-2ca44d3684ca48999ce8535f6ab1514c2025-02-03T01:29:59ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/137379137379Existence of Solutions of a Nonlocal Elliptic System via Galerkin MethodAlberto Cabada0Francisco Julio S. A. Corrêa1Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainUnidade Acadêmica de Matemática e Estatística, Centro de Ciências e Tecnologia, Universidade Federal de Campina Grande, 58.109-979 Campina Grande, BrazilBy means of the Galerkin method and by using a suitable version of the Brouwer fixed-point theorem, we establish the existence of at least one positive solution of a nonlocal elliptic N-dimensional system coupled with Dirichlet boundary conditions.http://dx.doi.org/10.1155/2012/137379 |
| spellingShingle | Alberto Cabada Francisco Julio S. A. Corrêa Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method Abstract and Applied Analysis |
| title | Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method |
| title_full | Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method |
| title_fullStr | Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method |
| title_full_unstemmed | Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method |
| title_short | Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method |
| title_sort | existence of solutions of a nonlocal elliptic system via galerkin method |
| url | http://dx.doi.org/10.1155/2012/137379 |
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