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Moscow Mathematical Journal, 2015, Volume 15, Number 4, Pages 767–775
DOI: https://doi.org/10.17323/1609-4514-2015-15-4-767-775 (Mi mmj586) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Maximization of higher order eigenvalues and applications

Nikolai Nadirashvilia, Yannick Sireb

a CNRS, I2M UMR 7353 — Centre de Mathématiques et Informatique, Marseille, France
b Université Aix-Marseille, I2M UMR 7353 — Centre de Math matiques et Informatique, Marseille, France
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DOI: https://doi.org/10.17323/1609-4514-2015-15-4-767-775
Abstract: The present paper is a follow up of our paper “Conformal spectrum and harmonic maps”. We investigate here the maximization of higher order eigenvalues in a conformal class on a smooth compact boundaryless Riemannian surface. Contrary to the case of the first nontrivial eigenvalue as shown in the above-mentioned paper, bubbling phenomena appear.
Key words and phrases: eigenvalues, isoperimetric inequalities.
Received: April 9, 2015
Bibliographic databases:
Document Type: Article
MSC: 35P15
Language: English
Citation: Nikolai Nadirashvili, Yannick Sire, “Maximization of higher order eigenvalues and applications”, Mosc. Math. J., 15:4 (2015), 767–775
Citation in format AMSBIB
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\by Nikolai~Nadirashvili, Yannick~Sire
\paper Maximization of higher order eigenvalues and~applications
\jour Mosc. Math.~J.
\yr 2015
\vol 15
\issue 4
\pages 767--775
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\crossref{https://doi.org/10.17323/1609-4514-2015-15-4-767-775}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3438833}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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