数学物理学报 ›› 2014, Vol. 34 ›› Issue (1): 86-94.

• 论文 • 上一篇    下一篇

具有不连续非线性项和Robin边值条件的半线性椭圆型方程解的多重性

张晶   

  1. 哈尔滨师范大学数学系曾远荣泛函分析研究中心 哈尔滨 150025
  • 收稿日期:2012-03-05 修回日期:2013-03-10 出版日期:2014-02-25 发布日期:2014-02-25
  • 基金资助:

    2011年度教育部博士研究生学术新人奖(AUDQ 1010002611)资助.

Multiple Solutions for Semilinear Elliptic Robin Boundary Value Problems with a Discontinuous Nonlinear Term

 ZHANG Jing   

  1. Yuan-Yung Tseng Functional Analysis Research Center, Harbin Normal University, Harbin 150025
  • Received:2012-03-05 Revised:2013-03-10 Online:2014-02-25 Published:2014-02-25
  • Supported by:

    2011年度教育部博士研究生学术新人奖(AUDQ 1010002611)资助.

摘要:

该文基于Banach空间, 利用非光滑局部环绕方法考虑有界区域上具有不连续非线性项和Robin边值条件的半线性椭圆型方程解的存在性和多重性.

关键词: Robin边值条件, 不连续非线性项, 非光滑局部环绕

Abstract:

In this paper, we consider the Robin boundary value problem in a Banach space for semilinear elliptic equation on a bounded domain whose nonlinear term is discontinuous by using nonsmooth local linking methods.

Key words: Robin boundary value problem, Discontinuous nonlinear term, Nonsmooth local linking

中图分类号: 

  • 60F15