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

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

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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
Published
2018-10-01
Section
Articles