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.
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The first author is supported by Fapesp, Grant 2019/23370-4 and the third author gratefully acknowledges the financial support from the Indian Institute of Technology Goa through Start-up Grant 2021/SG/AU/043.
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Manfio, F., Roth, J. & Upadhyay, A. Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds. Ann Glob Anal Geom 62, 489–505 (2022). https://doi.org/10.1007/s10455-022-09862-0
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DOI: https://doi.org/10.1007/s10455-022-09862-0