On the Existence of Metrics Which Maximize Laplace Eigenvalues on Surfaces
Author:
Affiliation:
1. Université de Lyon, CNRS UMR, Université Lyon 1, Institut Camille Jordan, Villeurbanne Cedex, France
2. Université Paris Diderot, Institut de Mathématiques de Jussieu - Paris Rive Gauche, bâtiment Sophie Germain, PARIS Cedex, France
Publisher
Oxford University Press (OUP)
Subject
General Mathematics
Link
http://academic.oup.com/imrn/article-pdf/2018/14/4261/25130521/rnx004.pdf
Reference40 articles.
1. Function Spaces and Potential Theory
2. Le Spectre d’une Variété Riemannienne
3. “Embedded minimal tori in $S^3$ and the Lawson conjecture.”;Brendle;Acta Mathematica,2013
4. “Convergence of solutions of $H$-systems or how to blow bubbles.”;Brezis;Archive for Rational Mechanics and Analysis,1985
5. “Riemann surfaces with large first eigenvalue.”;Brooks;Journal d’Analyse Mathématique,2001
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