Moser–Trudinger trace inequalities on a compact Riemannian surface with boundary

Yunyan Yang
2006 Pacific Journal of Mathematics  
Let (M, g) be a compact smooth Riemannian surface with boundary. In this paper, we use blowing-up analysis to prove that some Moser-Trudinger trace inequalities hold on certain function spaces, and that the extremal functions exist in those function spaces without any additional hypothesis on (M, g).
doi:10.2140/pjm.2006.227.177 fatcat:nzrb62vfwfetbiernyf6ispmdm