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A lower bound for principal eigenvalues in parabola-shaped regions

Published online by Cambridge University Press:  28 July 2008

Zhiren Jin
Zhiren Jin
Affiliation:
Department of Mathematics and Statistics, Wichita State University, Wichita, KS 67260-0033, USA (zhiren@math.wichita.edu)
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Abstract

When a domain is inside a parabola-shaped region, we show that the principal eigenvalues for Dirichlet problems of a linear second-order elliptic operator in non-divergent form are bounded from below by a positive constant that is independent of the domain.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 4 , August 2008 , pp. 787 - 799
Copyright
2008 Royal Society of Edinburgh

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