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The existence of principal eigenvalues for problems with indefinite weight function on ℝk

Published online by Cambridge University Press:  14 November 2011

K. J. Brown  and
A. Tertikas
K. J. Brown
Affiliation:
Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS, U.K
A. Tertikas
Affiliation:
Department of Mathematics, University of Crete, 71409 Iraklio, Crete, Greece
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Synopsis

We investigate the existence of positive principal eigenvalues of the problem - ∆u(x) = λg(x)u(x) for x ∈ ℝk where the weight function g changes sign in ℝk and is negative for |x| sufficiently large.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 3 , 1993 , pp. 561 - 569
Copyright
Copyright © Royal Society of Edinburgh 1993

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