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Positive solutions of elliptic systems with bounded nonlinearities

Published online by Cambridge University Press:  14 November 2011

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

Semilinear elliptic partial differential systems of second order with weak coupling are considered in exterior domains Ω ⊆ ℝN, N≧3. Conditions on the nonlinearities are given which guarantee the existence of solutions u with positive components in Ω such that u|∂Ω = 0 and u(x)→0 uniformly as |x|→∞. Asymptotic decay estimates for the solutions are established, including an exponential decay law under extra hypotheses.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 3-4 , 1988 , pp. 321 - 332
Copyright
Copyright © Royal Society of Edinburgh 1988

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