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Applied Mathematics A Journal of Chinese Universities  2016, Vol. 31 Issue (2): 153-160    DOI:
    
Multiplicity of solutions for Kirchhoff type equation involving the $p$-Laplacian-like operator
ZHANG Shen-gui, LIU Hua
College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China
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Abstract  This paper deals with a class of Kirchhoff type equation involving the $p$-Laplacian-like operator. Base on sysmmetric mountain pass theorem, some sufficient conditions for the existence of multiplicity of solutions are obtained, which generalize and improve the existing ones.

Key wordsKirchhoff type equation      $p$-Laplacian-like operator      Dirichlet boundary value problem      critical point     
Received: 27 November 2015      Published: 17 May 2018
CLC:  O175.14  
Cite this article:

ZHANG Shen-gui, LIU Hua. Multiplicity of solutions for Kirchhoff type equation involving the $p$-Laplacian-like operator. Applied Mathematics A Journal of Chinese Universities, 2016, 31(2): 153-160.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2016/V31/I2/153


带有类\emph{p}-Laplacian算子的Kirchhoff型方程的多重解

研究一类带有类\emph{p}-Laplacian算子的Kirchhoff型方程. 利用对称山路定理, 得到了多重解存在的充分条件, 推广和改进了已有结果.

关键词: Kirchhoff型方程,  类\emph{p}-Laplacian算子,  Dirichlet边值问题,  临界点 
[1] LUO Hua. Existence and uniqueness of solutions for a nonlinear V-time scales boundary value problem of dynamic system[J]. Applied Mathematics A Journal of Chinese Universities, 2017, 32(1): 1-12.