Maximization of the second conformal eigenvalue of spheres
Author:
Romain Petrides
Journal:
Proc. Amer. Math. Soc. 142 (2014), 2385-2394
MSC (2010):
Primary 35P15, 58C40, 58J50
DOI:
https://doi.org/10.1090/S0002-9939-2014-12095-8
Published electronically:
March 20, 2014
MathSciNet review:
3195761
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we establish an upper bound on the second eigenvalue of $n$-dimensional spheres in the conformal class of the round sphere. This upper bound holds in all dimensions and is asymptotically sharp as the dimension increases.
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Additional Information
Romain Petrides
Affiliation:
UMPA-ENS Lyon, 46 allée d’Italie, 69364 Lyon Cedex 07, France
Email:
romain.petrides@ens-lyon.fr
Received by editor(s):
July 3, 2012
Published electronically:
March 20, 2014
Communicated by:
Michael Wolf
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
