We prove new upper bounds for the first positive eigenvalue of a family of second order operators, including the Bakry-Émery Laplacian, for submanifolds of weighted Euclidean spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm6596-12-2015,
author = {Julien Roth},
title = {General Reilly-type inequalities for submanifolds of weighted Euclidean spaces},
journal = {Colloquium Mathematicae},
volume = {144},
year = {2016},
pages = {127-136},
zbl = {06574996},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6596-12-2015}
}
Julien Roth. General Reilly-type inequalities for submanifolds of weighted Euclidean spaces. Colloquium Mathematicae, Tome 144 (2016) pp. 127-136. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6596-12-2015/