Sobolev and isoperimetric inequalities for submanifolds in weighted ambient spaces

Abstract

In this paper, we prove a Sobolev and isoperimetric inequalities for submanifold in weighted manifold. Our results generalize the Hoffman-Spruck's inequalities.

15 pages. Comments are welcome

References in corpus (2)

• Stability and compactness for complete $f$-minimal surfaces
• Geometry of manifolds with densities