JAAM > Volume 6, Number 1, January 2021

Weak Nontrivial Solutions to Discrete Nonlinear Two-Point Boundary-Value Problems of Kirchhoff Type
DOI: 10.22606/jaam.2021.61001

Author(s)
Rodrigue SANOU, Idrissa IBRANGO, Blaise KONÉ
Affiliation(s)
Laboratoire de Mathématiques et Informatique (LAMI), UFR, Sciences Exactes et Appliquées, Université Joseph-Ki-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina-Faso
Laboratoire de Mathématiques et Informatique (LAMI), UFR, Sciences et Technique, Université Nazi BONI, 01 BP 1091 Bobo 01, Bobo Dioulasso, Burkina-Faso
Laboratoire de Mathématiques et Informatique (LAMI), Institut Burkinabé des Arts et Métiers, Université Joseph-Ki-ZERBO, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina-Faso
Abstract
We prove the existence of at least one weak nontrivial solutions for a discrete nonlinear two-point boundary-value problems of Kirchhoff type. The main existence results are obtained by using the technique of geometric mountain pass and the Ekelands variational principle.
Keywords
discrete boundary value problem, critical point, weak solution, mountain pass geometry lemma, Palais-Smale condition
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