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Asymptotics for Semilinear Elliptic Systems

Published online by Cambridge University Press:  20 November 2018

Ezzat S. Noussair  and
Charles A. Swanson
Ezzat S. Noussair
Affiliation:
School of Mathematics, University of New South Wales, Kensington, N.S.W., Australia 2033
Charles A. Swanson
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, B.C. V6T 1Y4
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Abstract

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A class of weakly coupled systems of semilinear elliptic partial differential equations is considered in an exterior domain in ℝN, N > 3. Necessary and sufficient conditions are given for the existence of a positive solution (componentwise) with the asymptotic decay u(x) = O(|x|2-N) as |x| —> ∞. Additional results concern the existence and structure of positive solutions u with finite energy in a neighbourhood of infinity.

Keywords

35J6035B05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 514 - 519
Copyright
Copyright © Canadian Mathematical Society 1991

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