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Tr. Mat. Inst. Steklova, 2019, Volume 305, Pages 291–308 (Mi tm3978)  

Isoperimetric Inequalities for Higher Eigenvalues of the Laplace–Beltrami Operator on Surfaces

Alexei V. Penskoiab

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
b Faculty of Mathematics, National Research University Higher School of Economics, ul. Usacheva 6, Moscow, 119048 Russia

Abstract: Recent advances in isoperimetric inequalities for higher eigenvalues of the Laplace–Beltrami operator on the sphere and on the projective plane are discussed.

Funding Agency Grant Number
Russian Science Foundation 16-11-10260
This work is supported by the Russian Science Foundation under grant 16-11-10260 and performed at Moscow State University.


DOI: https://doi.org/10.4213/tm3978

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 305, 270–286

Bibliographic databases:

UDC: 514.76+517.9
Received: October 11, 2018
Revised: October 11, 2018
Accepted: November 30, 2018

Citation: Alexei V. Penskoi, “Isoperimetric Inequalities for Higher Eigenvalues of the Laplace–Beltrami Operator on Surfaces”, Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Tr. Mat. Inst. Steklova, 305, Steklov Math. Inst. RAS, Moscow, 2019, 291–308; Proc. Steklov Inst. Math., 305 (2019), 270–286

Citation in format AMSBIB
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\paper Isoperimetric Inequalities for Higher Eigenvalues of the Laplace--Beltrami Operator on Surfaces
\inbook Algebraic topology, combinatorics, and mathematical physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday
\serial Tr. Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 291--308
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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