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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
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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

DOI: https://doi.org/10.1090/S0002-9939-2014-12095-8
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.

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