Author

Ling Wang

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Preprint Aug 2026

Interior $C^{1,\alpha}$ estimates for the linearized Monge--Amp\`ere equation in two dimensions

We prove an interior $C^{1,\alpha}$ estimate for solutions of the homogeneous linearized Monge--Amp\`ere equation in dimension two under the assumption \[ 0<\lambda\leq \det D^2\varphi\leq\Lambda<+\infty. \] No continuity assumption on the Monge--Amp\`ere density is required. Our result is an affine-invariant analogue...

Ling Wang, Bin Zhou · 0 citations

Preprint Aug 2026

Liouville-type theorems for coupled-drift Monge-Amp\`ere equations

In this paper, we study entire solutions and periodic correctors for the coupled-drift Monge-Amp\`ere equation \[ \det D^2u = \exp\{-a\cdot Du+b\cdot x+V(x)-c_0\}, \quad D^2u>0. \] For $V\equiv0$, we obtain a sharp classification of the whole-space solvability regimes: all entire smooth strictly convex solutions are qu...

Ling Wang · 0 citations