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Semilinear Elliptic Problems with Pairs of Decaying Positive Solutions

Published online by Cambridge University Press:  20 November 2018

Ezzat S. Noussair  and
Charles A. Swanson
Ezzat S. Noussair
Affiliation:
University of New South Wales, Kensington, Australia
Charles A. Swanson
Affiliation:
University of British Columbia, Vancouver, British Columbia
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Our main objective is to prove the existence of a pair of positive, exponentially decaying, classical solutions of the semilinear elliptic eigenvalue problem

1.1

in a smooth unbounded domain Ω ⊂ RN, N ≧ 2, where λ is a positive parameter and L is a uniformly elliptic operator in Ω defined by

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 39 , Issue 5 , 01 October 1987 , pp. 1162 - 1173
Copyright
Copyright © Canadian Mathematical Society 1987

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