Existence of solutions of a nonlocal elliptic system via galerkin method

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2012_abstractapplanal_cabada_existence_solutions.pdf (1.85 MB)
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URI: http://hdl.handle.net/10347/21466
ISSN: 1085-3375
DOI: 10.1155/2012/137379

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2012

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Abstract

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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Galerkin method| Brouwer fixed-point| Dirichlet boundary| Brouwer fixed-point theorem

Bibliographic citation

Cabada, Alberto, Corrêa, Julio S.A. (2012). Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method. "Abstract appl. anal.", vol. 2012, p. 1-17

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A. Cabada was partially supported by FEDER and Ministerio de Educación y Ciencia, Spain, Project MTM2010-15314. F. J. S. A. Corrêa was partially supported by CNPq, Grant 301603/2007-3

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Copyright © 2012 Alberto Cabada and Francisco Julio S. A. Corrêa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

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Estatística, Análise Matemática e Optimización