Existence and Multiplicity of Solutions for Kirchhoff Type Problems Involving -Biharmonic Operators

  • Ghasem A. Afrouzi

    University of Mazandaran, Babolsar, Iran
  • Maryam Mirzapour

    University of Mazandaran, Babolsar, Iran
  • Nguyen Thanh Chung

    Quang Binh University, Vietnam

Abstract

This paper is concerned with the existence and multiplicity of weak solutions for a -Kirchhoff type problem of the following form

by using the mountain pass theorem of Ambrosetti and Rabinowitz and Ekeland's variational principle in two cases when the Carath\'{e}odory function having special structure.

Cite this article

Ghasem A. Afrouzi, Maryam Mirzapour, Nguyen Thanh Chung, Existence and Multiplicity of Solutions for Kirchhoff Type Problems Involving -Biharmonic Operators. Z. Anal. Anwend. 33 (2014), no. 3, pp. 289–303

DOI 10.4171/ZAA/1512