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一类高阶拟线性椭圆型方程奇摄动广义边值问题
引用本文:莫嘉琪,欧阳成.一类高阶拟线性椭圆型方程奇摄动广义边值问题[J].应用数学和力学,2001,22(3):325-330.
作者姓名:莫嘉琪  欧阳成
作者单位:1.安徽师范大学数学系, 芜湖 241000;
摘    要:讨论了一类拟线性椭圆型方程奇摄动广义边值问题.在适当的条件下,研究了Dirichlet问题广义解的存在、唯一性及其渐近性态.

关 键 词:椭圆型方程    奇异摄动    广义解
文章编号:1000-0887(2001)03-0325-06
收稿时间:2000-02-28
修稿时间:2000年2月28日

A Class of Singularly Perturbed Generalized Boundary Value Problems for Quasilinear Elliptic Equation of Higher Order
MO Jia-qi,OUYANG Cheng.A Class of Singularly Perturbed Generalized Boundary Value Problems for Quasilinear Elliptic Equation of Higher Order[J].Applied Mathematics and Mechanics,2001,22(3):325-330.
Authors:MO Jia-qi  OUYANG Cheng
Institution:1.Department of Mathematics, Anhui Normal University, Wuhu 241000, P R China;2.Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000, P R China
Abstract:The singularly perturbed generalized boundary value problems for the quasilinear elliptic equation of higher order are considered. Under suitable conditions,the existence, uniqueness and asymptotic behavior of the generalized solution for the Dirichlet problems are studied.
Keywords:elliptic equation  singular perturbation  generalized solution
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