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.
@article{1628, title = {Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents}, journal = {CUBO, A Mathematical Journal}, volume = {19}, year = {2017}, language = {en}, url = {http://dml.mathdoc.fr/item/1628} }
Guiro, Aboudramane; Ibrango, Idrissa; Ouaro, Stanislas. Weak homoclinic solutions to discrete nonlinear problems of Kirchhoff type with variable exponents. CUBO, A Mathematical Journal, Tome 19 (2017) . http://gdmltest.u-ga.fr/item/1628/