A VARIATIONAL APPROACH TO DISCRETE ELLIPTIC PROBLEMS WITH A WEIGHT

Shapour Heidarkhani, Fariba Gharehgazlouei, Mustafa Avci

Research output: Contribution to journalJournal Articlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)377-390
Number of pages14
JournalDynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume29
Issue number5
Publication statusPublished - 2022

Keywords

  • Critical point theory
  • Discrete problems
  • Nonlinear algebraic systems
  • Variational approach

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