Kyelem, Bila AdolpheOuaro, StanislasZoungrana, Malick2022-04-122022-04-122017-04-25Kyelem, B. A., Ouaro, S., & Zoungrana, M. (2017). Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent. <i>Electronic Journal of Differential Equations, 2017</i>(109), pp. 1-16.1072-6691https://hdl.handle.net/10877/15641In this article, we prove the existence of solutions for some discrete nonlinear difference equations subjected to a potential boundary type condition. We use a variational technique that relies on Szulkin's critical point theory, which ensures the existence of solutions by ground state and mountain pass methods.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalPotential boundary type conditionVariational methodsCritical pointGround state methodPalais-Smale conditionMountain Pass TheoremArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.