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Existence of positive entire solutions for weakly coupled semilinear elliptic systems
Published online by Cambridge University Press: 14 November 2011
Synopsis
Weakly coupled semilinear elliptic systems of the form
are considered in RN, N≧2, where k = 1, 2, …, M, u = (u1, …, uM) and λ is a real constant. The aim of this paper is to give sufficient conditions for (*) to have entire solutions whose components are positive in RN and converge to non-negative constants as |x| tends to ∞. For this purpose a new supersolution-subsolution method is developed for the system (*) without any hypotheses on the monotonicity of the non-linear terms fk with respect to u.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 120 , Issue 1-2 , 1992 , pp. 79 - 91
- Copyright
- Copyright © Royal Society of Edinburgh 1992
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