Opuscula Math. 37, no. 5 (2017), 755-772

Opuscula Mathematica

Multiplicity results for perturbed fourth-order Kirchhoff-type problems

Mohamad Reza Heidari Tavani
Ghasem Alizadeh Afrouzi
Shapour Heidarkhani

Abstract. In this paper, we investigate the existence of three generalized solutions for fourth-order Kirchhoff-type problems with a perturbed nonlinear term depending on two real parameters. Our approach is based on variational methods.

Keywords: multiplicity results, multiple solutions, fourth-order Kirchhoff-type equation, variational methods, critical point theory.

Mathematics Subject Classification: 34B15, 58E05.

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  • Mohamad Reza Heidari Tavani
  • Islamic Azad University, Science and Research Branch, Department of Mathematics, Tehran, Iran
  • Ghasem Alizadeh Afrouzi
  • Islamic Azad University, Qaemshahr Branch, Department of Mathematics, Qaemshahr, Iran
  • Shapour Heidarkhani
  • Razi University, Faculty of Sciences, Department of Mathematics, 67149 Kermanshah, Iran
  • Communicated by Vicentiu D. Radulescu.
  • Received: 2016-09-25.
  • Revised: 2016-12-27.
  • Accepted: 2016-12-28.
  • Published online: 2017-07-05.
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Cite this article as:
Mohamad Reza Heidari Tavani, Ghasem Alizadeh Afrouzi, Shapour Heidarkhani, Multiplicity results for perturbed fourth-order Kirchhoff-type problems, Opuscula Math. 37, no. 5 (2017), 755-772, http://dx.doi.org/10.7494/OpMath.2017.37.5.755

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