The Dirichlet problem for second-order elliptic equations in non-divergence form with continuous coefficients: The two-dimensional case

Hongjie Dong, Dong-ha Kim, Seick Kim

This paper investigates the Dirichlet problem for a non-divergence form elliptic operator $L$ in a bounded domain of ${\mathbb{R}}^2$. Assuming that the principal coefficients satisf…