Infinitely many weak solutions for fourth-order equations depending on two parameters-Reference-Cited by-同舟云学术

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

Published:2018-10-01 Issue:4 Volume:36 Page:131-147
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Shokooh Saeid¹,Afrouzi Ghasem A.²,Zahmatkesh Hossain³

Affiliation:

1. Gonbad Kavous University

2. Mazandaran University

3. Islamic Azad University

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.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference19 articles.

1. Infinitely many solutions for a class of Dirichlet quasilinear elliptic systems

2. Infinitely many solutions for a mixed doubly eigenvalue boundary value problem

3. Infinitely many solutions for Steklov problems associated to non-homogeneous differential operators through Orlicz-Sobolev spaces

4. Existence of infinitely many solutions for quasilinear problems with a p(x)-biharmonic operator

5. Three solutions for a fourth-order boundary-value problem

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