本文利用摄动方法和上下解方法，讨论了一类奇异非线性椭圆边值问题，它具有很好的应用背景和理论意义。
In this paper, a singular nonlinear elliptic boundary value problem which is very important in applied science and pure theory was discussed by the method of perturbation, sub-and super-solution.
另一方面，采用传统迭代子和共轭梯度法作为光滑子，我们证明了瀑布型多重网格法对一、二维非线性椭圆边值问题，在能量范数下，均可获得最优收敛阶。
Onthe other hand, with traditional iterations and the conjugate gradient(CG) as smoothers, we can show the optimal convergence rate of the cascadic method in energy norm for 1-D and 2-D cases.
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The article deals with the discontinuous boundary value problem for nonlinear elliptic complex equations of second order.
研究在外部区域中拟线性椭圆型方程，具有非线性边界条件的边值问题。
This paper aims at studying the boundary value for second order quasilinear elliptic equations with nonlinear boundary condition in exterior domain.
讨论了一阶非线性椭圆型方程组斜微商问题解的稳定性，这个结果是借助于有关边值问题解的先验估计而导出的。
This paper discusses the stability of solution of the oblique derivative problem for the nonlinear elliptic system of first order equations.
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The method of the composition of some linear equations of second order;
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The method of the composition of some linear equations of second order;
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