Green representations and global Hölder continuity for solutions of elliptic equations

Duc Duong

Let $N\in \mathbb{N}$ and $u$ be a weak solution of equation $Lu\equiv -\sum _{i,j=1}^N\frac{\partial }{\partial x_j}(\frac{\partial u}{\partial x_i}{b}^{ij})=f$ i…