An Optimal Geometric Condition on Domains for Boundary Differentiability of Solutions of Elliptic Equations
arXiv:1901.06062 · doi:10.1016/j.jde.2013.02.002
Abstract
In this paper, a geometric condition on domains will be given which guarantees the boundary differentiability of solutions of elliptic equations, that is, the solutions are differentiable at any boundary point. We will show that this geometric condition is optimal.