An optimal geometric condition on domains for boundary differentiability of solutions of elliptic equations

作者：Li Dongsheng; Zhang Kai^*

来源：Journal of Differential Equations, 2013, 254(9): 3765-3793.

DOI：10.1016/j.jde.2013.02.002

• Elliptic equations
• Boundary differentiability
• Optimal geometric condition

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.

• 出版日期2013-5-1
• 单位西安交通大学