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

Aboudramane Guiro; Idrissa Ibrango; Stanislas Ouaro

doi:10.4067/S0719-06462017000300043

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

Authors

Aboudramane Guiro Laboratoire de Mathématiques et Informatique (LAMI) - UFR, Sciences et Techniques, Université Nazi BONI 01 BP 1091 Bobo-Dioulasso, 01 Bobo Dioulasso, Burkina Faso.
Idrissa Ibrango UFR. Sciences Exactes et Appliques, Université Ouaga I Pr Joseph KI-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso.
Stanislas Ouaro UFR. Sciences Exactes et Appliques, Universit Ouaga I Pr Joseph KI-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso.

DOI:

https://doi.org/10.4067/S0719-06462017000300043

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.

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Published

2017-10-01

How to Cite

[1]

A. Guiro, I. Ibrango, and S. Ouaro, “Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents”, CUBO, vol. 19, no. 3, pp. 43–55, Oct. 2017.