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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A lower bound for the fundamental frequency of a convex region


Author: M. H. Protter
Journal: Proc. Amer. Math. Soc. 81 (1981), 65-70
MSC: Primary 35P15
MathSciNet review: 589137
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Abstract: A lower bound for the first eigenvalue of the Laplace operator is obtained in terms of the radius of the largest ball which can be inscribed in a convex region in $ {R^n}$, $ n \geqslant 2$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0589137-2
PII: S 0002-9939(1981)0589137-2
Article copyright: © Copyright 1981 American Mathematical Society