On the second eigenvalue of the dirichlet laplacian

L. Friedlander

doi:10.1007/BF02764800

On the second eigenvalue of the dirichlet laplacian

L. Friedlander

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The multiplicity of the second eigenvalue of the Dirichlet Laplacian on smooth Riemannian surfaces with boundary that satisfy certain convexity condition is at most two. The proof is based on variational formulas for eigenvalues under the change of the domain.

Original language	English (US)
Pages (from-to)	23-32
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	79
Issue number	1
DOIs	https://doi.org/10.1007/BF02764800
State	Published - Feb 1992
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/BF02764800

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title = "On the second eigenvalue of the dirichlet laplacian",

abstract = "The multiplicity of the second eigenvalue of the Dirichlet Laplacian on smooth Riemannian surfaces with boundary that satisfy certain convexity condition is at most two. The proof is based on variational formulas for eigenvalues under the change of the domain.",

author = "L. Friedlander",

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JO - Israel Journal of Mathematics

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On the second eigenvalue of the dirichlet laplacian

Abstract

ASJC Scopus subject areas

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