Infinitely many weak solutions for fourth-order equations depending on two parameters

Authors

  • Saeid Shokooh Gonbad Kavous University
  • Ghasem A. Afrouzi Mazandaran University
  • Hossain Zahmatkesh Islamic Azad University

DOI:

https://doi.org/10.5269/bspm.v36i4.31997

Keywords:

Ricceri variational principle, infinitely many solutions, fourth-order equations

Abstract

In this paper, by employing Ricceri variational principle, we prove the existence of infinitely many weak solutions for fourth-order problems depending on two real parameters. We also provide some particular cases and a concrete example in order to illustrate the main abstract results of this paper.

Author Biographies

  • Saeid Shokooh, Gonbad Kavous University
    Department of Mathematics, Faculty of Sciences
  • Ghasem A. Afrouzi, Mazandaran University
    Department of Mathematics, Faculty of Mathematical Sciences
  • Hossain Zahmatkesh, Islamic Azad University
    Department of Mathematics, Faculty of Mathematical Sciences

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Published

2018-10-01

Issue

Section

Research Articles