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一类边界摄动的非线性椭圆型方程奇摄动问题

莫嘉琪1, 朱 江1, 林万涛1   

  1. 1. 湖州师范学院数学系, 湖州 313000; 2. 中国科学院大气物理研究所, 北京 100029
  • 收稿日期:2003-07-09 修回日期:1900-01-01 出版日期:2004-04-26 发布日期:2004-04-26
  • 通讯作者: 莫嘉琪

A class of nonlinear singularly perturbed problems for elliptic equations with boundary perturbation

MO Jia-qi1ZHU Jiang2, LIN Wan-tao2   

  1. 1. Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China; 2. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2003-07-09 Revised:1900-01-01 Online:2004-04-26 Published:2004-04-26
  • Contact: MO Jia-qi

摘要: 研究具有边界摄动的非线性椭圆型方程奇摄动问题. 在适当的条件下, 利用微分不等式理论, 讨论边值问题解的渐近性态.

关键词: 非线性, 椭圆型方程, 奇摄动, 边界摄动

Abstract: The nonlinear for singularly perturbed problems of elliptic equations with boundary perturbation are considered. Under suitable conditions, the asymptotic behavior of solution for the boundary value problems is studied by using the theory of differential inequalities.

Key words: nonlinear, elliptic equation, singular perturbation, boundary perturbation

中图分类号: 

  • O175.29