The optimal weighted \(W^{2, p}\) estimates of elliptic equation with non-compatible conditions (Q651982)

From the authors' abstract: We study uniformly elliptic equations with non-compatible conditions, where \(\Omega\) is a bounded Lipschitz domain, and the right-hand side term and the boundary value of the elliptic equations belong to \(L^p\) (\(p\geq 2\)) space. Then the optimal weighted \(W^{2,p}\) estimates will be given by Whitney decomposition and \(L^p\) estimates of non-tangential maximal function associated to solutions of the elliptic equations.