Article contents
Positive solutions of certain elliptic systems with density-dependent diffusions
Published online by Cambridge University Press: 14 November 2011
Extract
Results are obtained on the existence of positive solutions to the following elliptic system:
in a bounded region Ω in Rn with a smooth boundary, where the diffusion terms φ ψ are non-negative functions and the system could be degenerate, β γ are strictly increasing functions, k,σ ≧ 0 are constants. We assume also that the growth rates f, g satisfy certain monotonicities. Applications to biological interactions with density-dependent diffusions are given.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 5 , 1995 , pp. 1031 - 1050
- Copyright
- Copyright © Royal Society of Edinburgh 1995
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