# ${W}^{2,p}$ Estimates for Elliptic Equations on $C^{1,\alpha}$ Domains

@inproceedings{Li2022W2pEF, title={\$\{W\}^\{2,p\}\$ Estimates for Elliptic Equations on \$C^\{1,\alpha\}\$ Domains}, author={Dongsheng Li and Xue Nan Li and Kai Zhang}, year={2022} }

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 domains are obtained for nondivergence form linear elliptic equations and further more, fully nonlinear elliptic equations are also considered.

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