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

被引：5

作者：

Penskoi, Alexei V. ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

[2] Natl Res Univ Higher Sch Econ, Fac Math, Ul Usacheva 6, Moscow 119048, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2019年 / 305卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

EXTREMAL SPECTRAL PROPERTIES; MINIMAL IMMERSIONS; 1ST EIGENVALUE; UPPER-BOUNDS; MULTIPLICITY BOUNDS; METRICS;

D O I：

10.1134/S0081543819030167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：270 / 286

页数：17

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