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20232026
most citedLiouville theorems for conformally invariant fully nonlinear equations. I

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math.AP2025

A Liouville theorem for convex functions with periodic Monge-Ampère measure

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

We study global convex solutions of the Monge-Ampère equation \[ \det D^2 u = μ\quad \text{in } \mathbb{R}^n, \] where is a nonnegative locally finite periodic Bore…

math.AP2025

Composite media, almost touching disks and the maximum principle

YanYan Li, Ben Weinkove

We consider the setting of two disks in a domain in which are almost touching and have finite and positive conductivities, giving rise to a divergence form elliptic…