Siyuan Lu

activity

20232026

C^{2}

estimate for Hessian quotient equation in general dimension

1 citations · 1 across the 5 of their papers we have counts for

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math.AP2024

A simple proof of curvature estimates for the n-1 Hessian equation

Siyuan Lu, Yi-Lin Tsai

In [Amer. J. Math. 141 (2019), no. 5, 1281-1315], Ren and Wang proved the curvature estimates for the $n - 1$ curvature equation. The purpose of this note is to give a simple proof o…

math.AP2024★ 1 cited

Interior $C^{2}$ estimate for Hessian quotient equation in general dimension

Siyuan Lu

In this paper, we study the interior $C^{2}$ regularity problem for the Hessian quotient equation $(\frac{σ _{n}}{σ _{k}}) (D^{2} u) = f$ . We give a complete answer to this longstandi…

A simple proof of curvature estimates for the n-1 Hessian equation

Interior C2 estimate for Hessian quotient equation in general dimension

Interior $C^{2}$ estimate for Hessian quotient equation in general dimension