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高校应用数学学报
高校应用数学学报  2016, Vol. 31 Issue (2): 153-160    
    
带有类\emph{p}-Laplacian算子的Kirchhoff型方程的多重解
张申贵, 刘华
西北民族大学 数学与计算机科学学院, 甘肃兰州 730030
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
 全文: PDF 
摘要： 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    
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 words: Kirchhoff type equation    $p$-Laplacian-like operator    Dirichlet boundary value problem    critical point
收稿日期: 2015-11-27 出版日期: 2018-05-17
CLC:  O175.14  
基金资助: 国家自然科学基金(31260098); 天元数学基金(11326100)
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引用本文:

张申贵, 刘华. 带有类\emph{p}-Laplacian算子的Kirchhoff型方程的多重解[J]. 高校应用数学学报, 2016, 31(2): 153-160.

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.

链接本文:

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

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