一类高阶非线性椭圆型方程奇摄动非局部边值问题

A Class of Singularly Perturbed Nonlocal Boundary Value Problems for Higher Order of Nonlinear Elliptic Equations

本文利用微分不等式理论研究了一类高阶椭圆型微分方程非局部边值问题的奇摄 动．得到了其解一致有效的渐近展开式．

In this paper a class of singular perturbation of nonlocal boundary value problems for elliptic partial differential equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansion of solution is obtained.