Shibing Chen

activity

20102026

most citedGlobal regularity for the Monge-Ampère equation with natural boundary condition

10 citations · 29 across the 32 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.AP2012

Convex solutions to the power-of-mean curvature flow

Shibing Chen

We prove some estimates for convex ancient solutions (the existence time for the solution starts from $- \infty$ ) to the power-of-mean curvature flow, when the power is strictly gre…

math.AP2012★ 1 cited

Remainder terms in the fractional Sobolev inequality

Shibing Chen, Rupert L. Frank, Tobias Weth

We show that the fractional Sobolev inequality for the embedding $↪ ˝ L^{\frac{2 N}{N - s}} (R^{N})$ , $s \in (0, N)$ can be sharpened by adding a remainder term proportion…