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山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (10): 48-53.doi: 10.6040/j.issn.1671-9352.0.2015.309

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带p(x)-调和算子的Kirchhoff型方程的多重解

张申贵   

  1. 西北民族大学数学与计算机科学学院, 甘肃 兰州 730030
  • 收稿日期:2015-06-29 出版日期:2016-10-20 发布日期:2016-10-17
  • 作者简介:张申贵(1980— ), 男, 博士, 副教授, 研究方向为非线性泛函分析和偏微分分方程. E-mail:zhangshengui315@163.com
  • 基金资助:
    国家自然科学基金资助项目(31260098);天元数学基金资助项目(11326100);西北民族大学中央高校基本科研业务费专项资助(31920130004)

Multiplicity of solutions for Kirchhoff type equation involving the p(x)-biharnonic operator

ZHANG Shen-gui   

  1. College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Gansu, China
  • Received:2015-06-29 Online:2016-10-20 Published:2016-10-17

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摘要： 研究了一类Kirchhoff型p(x)-调和方程。利用临界点理论中的喷泉定理,获得了多重解存在的充分条件,推广和改进了一些已有的结果。

关键词: p(x)-调和算子, Navier边值问题, Kirchhoff型方程, 临界点

Abstract: A class of Kirchhoff type equation involving the p(x)-biharnonic operator is ivestigated. By using fountain theorem in critical point theory, some sufficient conditions for the existence of multiplicity of solutions are obtained, which generalize and improve some existing resuls.

Key words: p(x)-biharnonic operator, Navier boundary value problem, Kirchhoff type equation, critical point

中图分类号: 

  • O175.8
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