Resumen de Moser-Trudinger trace inequalities on a compact Riemannian surface with boundary

Yunyan Yang

• 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).