Speaker：Prof. Jingang Xiong, Beijing Normal University

Title: Minimizers for the fractional Sobolev inequality on domains

Time：2018-05-09, 16:30-17:30

Venue：Room 316 of Environment Building, Rennin University

Abstract：We consider a version of the fractional Sobolev inequality in domains

and study whether the best constant in this inequality is attained. For the half-space and

a large class of bounded domains we show that a minimizer exists, which is in contrast to

the classical Sobolev inequalities in domains. This is joint work with R. Frank and T. Jin.