论文标题
$ {c^{1，α}} $ domains $ {c^{1，α}} $ domains的$ {{w}^{2，δ}} $估计值
${{W}^{2,δ}}$ Estimates for Solution Sets of Fully Nonlinear Elliptic inequalities on ${C^{1,α}}$ Domains
论文作者
论文摘要
在本文中，我们建立了$ u \ in s（λ，λ，f）$ u \ in $ c^{1，α} $ domains的边界$ w^{2，δ} $估计值。我们的主要思想不是拉直边界，而是从内部$ w^{2，δ_0} $估计值获得边界$ w^{2，δ} $估计值，以及某些$δ\leqΔ_0$的惠特尼分解。
In this paper, we establish boundary $W^{2,δ}$ estimates for $u\in S(λ,Λ,f)$ on $C^{1,α}$ domains with $f\in L^p$ as $n<p<\infty$ and $C^{1,α}$ boundary values. Instead of straightening out the boundary, our main idea is to obtain boundary $W^{2,δ}$ estimates from interior $W^{2,δ_0}$ estimates and Whitney decomposition for some $δ\leq δ_0$.
