Power Convexity of Solutions to the Complex Monge-Ampère Equation $\det (u_{i\overline{j}})=1$ in Complex Dimension Two

Hongyu Chen, Jingchen Hu, Li Sheng

In this paper, we establish the power convexity of solutions to the complex Monge-Ampère equation $\det (u_{i\overline{j}})=1$ in a convex set in the complex 2 dimensional Euclidea…