Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent
Date
2017-04-25
Authors
Kyelem, Bila Adolphe
Ouaro, Stanislas
Zoungrana, Malick
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Potential boundary type condition, Variational methods, Critical point, Ground state method, Palais-Smale condition, Mountain Pass Theorem
Citation
Kyelem, 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.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.