Sharp Sobolev inequalities involving boundary terms revisited

Abstract

We revisit the sharp Sobolev inequalities involving boundary terms on Riemannian manifolds with boundaries proved by \emph{[Y.Y. Li and M. Zhu, Geom. Funct. Anal. \textbf{8} (1998), 59--87.]} and explore the role of the mean curvature.

References in corpus (1)

• Sharp constants in weighted trace inequalities on Riemannian manifolds