Open Access Research Article

Existence of Solutions for Elliptic Systems with Nonlocal Terms in One Dimension

Alberto Cabada1, JÁngel Cid2 and Luís Sanchez3*

Author Affiliations

1 Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

2 Departamento de Matemáticas, Universidad de Jaén, Ed. B3, Las Lagunillas, 23009 Jaén, Spain

3 Faculdade de Ciências da Universidade de Lisboa, Centro de Matemática e Aplicações Fundamentais, Avenida Professor Gama Pinto 2, 1649-003 Lisboa, Portugal

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Boundary Value Problems 2011, 2011:518431  doi:10.1155/2011/518431

Published: 2 September 2010

Abstract

We study the solvability of a system of second-order differential equations with Dirichlet boundary conditions and non-local terms depending upon a parameter. The main tools used are a dual variational method and the topological degree.