论文标题
求解椭圆方程的迭代方法
An Iteration Method for Solving Elliptic Equations
论文作者
论文摘要
在本文中,我们使用一种天然迭代技术来证明存在非线性迪里奇问题的解决方案。其中包括的示例包括规定的平均曲率方程。该技术的性质允许应用程序到无界域,因为我们使用$ \ mathbb {r}^{n-1} \ times \ left(-d/2,d/2,d/2 \ right)$的域显示。
In this paper we use a natural iteration technique to prove existence of solutions to nonlinear Dirichlet problems. Among the examples included is the prescribed mean curvature equation. The nature of the technique allows applications to unbounded domains, as we show with domains of the form $\mathbb{R}^{n-1}\times\left(-d/2,d/2\right)$.