Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents

Abstract In this paper, we prove the existence of weak homoclinic solutions for discrete nonlinear problems of Kirchhoff type. The proof of the main result is based on a minimization method. As extension, we prove the existence result of weak homoclinic solutions for more general data depending on t...

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Detalles Bibliográficos
Autores principales: Guiro,Aboudramane, Ibrango,Idrissa, Ouaro,Stanislas
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2017
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462017000300043
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Sumario:Abstract In this paper, we prove the existence of weak homoclinic solutions for discrete nonlinear problems of Kirchhoff type. The proof of the main result is based on a minimization method. As extension, we prove the existence result of weak homoclinic solutions for more general data depending on the solutions.