拟线性椭圆方程组边值问题奇摄动

Singular perturbation of boundary value problem for quasiliner elliptic system

讨论了算子和区域边界摄动的拟线性椭圆方程组边值问题的奇摄动,构造了边界层项,给出了上,下解的表达式,并利用上、下解研究了误差,得到了解的一致有效渐近展开式,从而证明了解的存在性。

The siugular perturbations of boundary value problem for quasiliner elliptic system, considering both the perturbations of operator and that of boundary are discussed, the boundary layer term is constructed. The upper and lower solution are given. The uniformly valid asymptotic expansion is obtained. The existence of solution is proved.