Siyuan Lu

activity

20182021

most citedMonge-Ampère equation with bounded periodic data

1 citations · 1 across the 2 of their papers we have counts for

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math.AP2021

On the $σ_{2}$ -Nirenberg problem on $S^{2}$

YanYan Li, Han Lu, Siyuan Lu

We establish theorems on the existence and compactness of solutions to the $σ_{2}$ -Nirenberg problem on the standard sphere $S^{2}$ . A first significant ingredient, a Liouville…

math.AP2020

A Liouville theorem for Möbius invariant equations

YanYan Li, Han Lu, Siyuan Lu

In this paper we classify Möbius invariant differential operators of second order in two dimensional Euclidean space, and establish a Liouville type theorem for general Möbius inva…

math.AP2019★ 1 cited

Monge-Ampère equation with bounded periodic data

YanYan Li, Siyuan Lu

We consider the Monge-Ampère equation $det (D^{2} u) = f$ in $R^{n}$ , where $f$ is a positive bounded periodic function. We prove that $u$ must be the sum of a quadratic polynomi…

math.AP2018

Existence and nonexistence to exterior Dirichlet problem For Monge-Ampère equation

Yanyan Li, Siyuan Lu

We consider the exterior Dirichlet problem for Monge-Ampère equation with prescribed asymptotic behavior. Based on earlier work by Caffarelli and the first named author, we complet…

On the σ2​-Nirenberg problem on S2

A Liouville theorem for Möbius invariant equations

Monge-Ampère equation with bounded periodic data

Existence and nonexistence to exterior Dirichlet problem For Monge-Ampère equation

On the $σ_{2}$ -Nirenberg problem on $S^{2}$