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/