Multiplicity of solutions for a class of Kirchhoff type problems

Article

DOI: 10.1007/s10255-010-0005-2

Cite this article as:
He, X. & Zou, W. Acta Math. Appl. Sin. Engl. Ser. (2010) 26: 387. doi:10.1007/s10255-010-0005-2

Abstract

In this paper we apply the (variant) fountain theorems to study the symmetric nonlinear Kirchhoff nonlocal problems. Under the Ambrosetti-Rabinowitz’s 4-superlinearity condition, or no Ambrosetti-Rabinowitz’s 4-superlinearity condition, we present two results of existence of infinitely many large energy solutions, respectively.

Keywords

Kirchhoff nonlocal problems Multiple solutions Fountain theorems 

2000 MR Subject Classification

35J60 35J25 

Copyright information

© Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.School of ScienceMinzu University of ChinaBeijingChina
  2. 2.Department of Mathematical SciencesTsinghua UniversityBeijingChina

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