A variational approach to discrete elliptic problems with a weight. (English) Zbl 1507.39006
Summary: We establish sufficient conditions for the existence of at least three distinct nonnegative solutions for a discrete problem with a positive weight function. Technical approach used in this article is based on the critical point theory and variational method. We also provide an example to illustrate the result.
MSC:
| 39A27 | Boundary value problems for difference equations |
| 39A12 | Discrete version of topics in analysis |
| 35B38 | Critical points of functionals in context of PDEs (e.g., energy functionals) |
Keywords:
nonlinear algebraic systems; discrete problems; variational approach; critical point theoryReferences:
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| [26] | Received September 2020; revised February 2022. email: sh.heidarkhani@yahoo.com (S. Heidarkhani) email: f.gharehgazloo@yahoo.com (F. Gharehgazlouei) email: avcixmustafa@gmail.com (M. Avci) |
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