Shibing Chen

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20122023

most citedRemainder terms in the fractional Sobolev inequality

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2014

Boundary $ε$ -regularity in optimal transportation

Shibing Chen, Alessio Figalli

We develop an $\e$-regularity theory at the boundary for a general class of Monge-Ampère type equations arising in optimal transportation. As a corollary we deduce that optimal tra…

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…

Boundary ε-regularity in optimal transportation

Remainder terms in the fractional Sobolev inequality

Boundary $ε$ -regularity in optimal transportation