W2,p Estimates Estimates for elliptic equations on C1,α domains

In this paper, a new method is represented to investigate boundary W-2,W-p estimates for elliptic equations, which is, roughly speaking, to derive boundary W(2,p )estimates from interior W-2,W-p estimates by Whitney decomposition. Using it, W-2,W-p estimates on C-1,C-alpha domains are obtained for nondivergence form linear elliptic equations and further more, fully nonlinear elliptic equations are also considered.

Automated summary

A new method is introduced in this paper to investigate boundary W-2,W-p estimates for elliptic equations, which derives boundary W(2,p) estimates from interior W-2,W-p estimates using Whitney decomposition. This method is used to obtain W-2,W-p estimates on C-1,C-alpha domains for nondivergence form linear elliptic equations, and also considers fully nonlinear elliptic equations.