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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2019 Volume 305, Pages 291–308 (Mi tm3978)
This article is cited in 5 papers

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.

UDC: 514.76+517.9

Received: October 11, 2018
Revised: October 11, 2018
Accepted: November 30, 2018

DOI: 10.4213/tm3978


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

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© Steklov Math. Inst. of RAS, 2024