Critical points approaches to a nonlocal elliptic problem driven by p(x)-biharmonic operator

Shapour Heidarkhani, Shahin Moradi, Mustafa Avci

Research output: Contribution to journalJournal Articlepeer-review

4 Citations (Scopus)

Abstract

Differential equations with variable exponent arise from the nonlinear elasticity theory and the theory of electrorheological fluids. We study the existence of at least three weak solutions for the nonlocal elliptic problems driven by p (x) p(x) -biharmonic operator. Our technical approach is based on variational methods. Some applications illustrate the obtained results. We also provide an example in order to illustrate our main abstract results. We extend and improve some recent results.

Original languageEnglish
Pages (from-to)55-69
Number of pages15
JournalGeorgian Mathematical Journal
Volume29
Issue number1
DOIs
Publication statusPublished - 1 Feb. 2022

Keywords

  • nonlocal elliptic system
  • three weak solutions
  • variational methods

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