论文标题
$ {w}^{2，p} $估算$ c^{1，α} $ domains上的椭圆方程
${W}^{2,p}$ Estimates for Elliptic Equations on $C^{1,α}$ Domains
论文作者
论文摘要
在本文中，一种新方法是为了调查边界$ w^{2，p} $的估计值，椭圆方程的估计值大概是从内部$ w^{2，p} $估计的边界$ w^{2，p} $估计的估计值。使用它，在$ c^{1，α} $域上的$ w^{2，p} $估计是为非线性椭圆方程式获得的，更重要的是，还考虑了完全非线性椭圆方程。
In this paper, a new method is represented to investigate boundary $W^{2,p}$ estimates for elliptic equations, which is, roughly speaking, to derive boundary $W^{2,p}$ estimates from interior $W^{2,p}$ estimates by Whitney decomposition. Using it, $W^{2,p}$ estimates on $C^{1,α}$ domains are obtained for nondivergence form linear elliptic equations and further more, fully nonlinear elliptic equations are also considered.
