An upper bound for the first eigenvalue of a spherical cap

M. A. Pinsky

doi:10.1007/BF01189453

An upper bound for the first eigenvalue of a spherical cap

M. A. Pinsky^*

^*Corresponding author for this work

Mathematics

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

3 Scopus citations

Abstract

By working with suitable test functions, we obtain an upper bound for the principal eigenvalue of a geodesic ball on a sphere of arbitrary dimension. This bound is sharp in the limiting case when the radius of the ball approaches the diameter of the sphere.

Original language	English (US)
Pages (from-to)	171-174
Number of pages	4
Journal	Applied Mathematics & Optimization
Volume	30
Issue number	2
DOIs	https://doi.org/10.1007/BF01189453
State	Published - Sep 1994

Keywords

AMS classification: 34B24, 34L15
Principal eigenvalue
Spherical cap
Sturm-Liouville problem

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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10.1007/BF01189453

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title = "An upper bound for the first eigenvalue of a spherical cap",

abstract = "By working with suitable test functions, we obtain an upper bound for the principal eigenvalue of a geodesic ball on a sphere of arbitrary dimension. This bound is sharp in the limiting case when the radius of the ball approaches the diameter of the sphere.",

keywords = "AMS classification: 34B24, 34L15, Principal eigenvalue, Spherical cap, Sturm-Liouville problem",

author = "Pinsky, {M. A.}",

year = "1994",

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doi = "10.1007/BF01189453",

language = "English (US)",

volume = "30",

pages = "171--174",

journal = "Applied Mathematics & Optimization",

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AU - Pinsky, M. A.

PY - 1994/9

Y1 - 1994/9

N2 - By working with suitable test functions, we obtain an upper bound for the principal eigenvalue of a geodesic ball on a sphere of arbitrary dimension. This bound is sharp in the limiting case when the radius of the ball approaches the diameter of the sphere.

AB - By working with suitable test functions, we obtain an upper bound for the principal eigenvalue of a geodesic ball on a sphere of arbitrary dimension. This bound is sharp in the limiting case when the radius of the ball approaches the diameter of the sphere.

KW - AMS classification: 34B24, 34L15

KW - Principal eigenvalue

KW - Spherical cap

KW - Sturm-Liouville problem

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DO - 10.1007/BF01189453

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EP - 174

JO - Applied Mathematics & Optimization

JF - Applied Mathematics & Optimization

IS - 2

ER -

An upper bound for the first eigenvalue of a spherical cap

Abstract

Keywords

ASJC Scopus subject areas

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