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

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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.

  • 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.
  • Pages: 43–55
  • Date Published: 2017-10-01
  • Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal

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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.

Issue

Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal

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Articles