数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (3): 593-606.doi: 10.1016/S0252-9602(17)30025-5

• 论文 • 上一篇    下一篇

SIGN-CHANGING SOLUTIONS FOR p-BIHARMONIC EQUATIONS WITH HARDY POTENTIAL IN RN

杨瑞瑞1, 张薇2, 刘祥清1   

  1. 1. Department of Mathematics, Yunnan Normal University, Kunming 650092, China 2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
  • 收稿日期:2015-04-07 修回日期:2016-08-10 出版日期:2017-06-25 发布日期:2017-06-25
  • 通讯作者: Xiangqing LIU E-mail:lxq8u8@163.com
  • 基金资助:
    Supported by NSFC 11361077,Young Academic and Technical Leaders Program (2015HB028) and Yunnan Normal University,LianDa Scholar Program.

SIGN-CHANGING SOLUTIONS FOR p-BIHARMONIC EQUATIONS WITH HARDY POTENTIAL IN RN

Ruirui YANG1, Wei ZHANG2, Xiangqing LIU1   

  1. 1. Department of Mathematics, Yunnan Normal University, Kunming 650092, China 2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
  • Received:2015-04-07 Revised:2016-08-10 Online:2017-06-25 Published:2017-06-25
  • Supported by:
    Supported by NSFC 11361077,Young Academic and Technical Leaders Program (2015HB028) and Yunnan Normal University,LianDa Scholar Program.

摘要: In this article, by using the method of invariant sets of descending flow, we obtain the existence of sign-changing solutions of p-biharmonic equations with Hardy potential in RN.

关键词: Sign-changing solutions, p-biharmonic equations, Hardy potential

Abstract: In this article, by using the method of invariant sets of descending flow, we obtain the existence of sign-changing solutions of p-biharmonic equations with Hardy potential in RN.

Key words: Sign-changing solutions, p-biharmonic equations, Hardy potential