paper

Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds

arXiv:2206.06305 · doi:10.1007/s10455-022-09862-0

Abstract

We prove Reilly-type upper bounds for divergence-type operators of the second order as well as for Steklov problems on submanifolds of Riemannian manifolds of bounded sectional curvature endowed with a weighted measure.

16 pages