奇摄动拟线性椭圆型方程边值问题的内层现象  

Interior Layer Behavior of Boundary Value Problems for Singularly Perturbed Quasilinear Elliptic Equations

作　　者：张祥[1] 

机构地区：[1]安徽师范大学数学系,芜湖241000

出　　处：《应用数学》1994年第2期180-186,共7页Mathematica Applicata

基　　金：国家自然科学基金

摘　　要：本文研究一类奇摄动拟线性椭圆型方程Dirichlet问题的内层现象,利用偏微分不等式理论,通过构造具有内层校正的上、下解函数,给出了奇摄动问题内层现象的解的存在性及其余项估计。This paper deals with the interior layer behavior of Dirichlet problem for a class of singularly perturbed quasilinear elliptic equation. The existence and the remainder estimation of the solution of the interior layer behavior for singular perturbation problems are given by applying the theory of partial differential inequalities and by constructing upper and lower solution functions with interior correction.

关 键 词：奇摄动 椭圆型方程 边值问题 

分 类 号：O175.25[理学—数学]