Quantitative homogenization of Monge-Ampère equations in periodic media

Tianling Jin, YanYan Li, Hung V. Tran +1

Let $u^{\epsilon }$ and $u$ be the convex solutions of \[ \det D^2u^\varepsilon=F(x,x/\varepsilon),\qquad \det D^2u=\overline F(x) \] on a bounded convex domain $\Omega$, with the same…