Remainder terms in the fractional Sobolev inequality

Shibing Chen, Rupert L. Frank, Tobias Weth

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