## Communicated by M. Renardy The steady-state problem of the non-linear reaction-diffusion system is considered. The existence of positive steady-solutions is established by using a fixed point theorem in ordered Banach space. The uniqueness of ordered positive steady-state solutions and an appl
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Positive Steady-State Solutions of a Competing Reaction-Diffusion System with Large Cross-Diffusion Coefficients
โ Scribed by W.H. Ruan
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 244 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0022-247X
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We show that weak L p dissipativity implies strong L dissipativity and therefore implies the existence of global attractors for a general class of reaction diffusion systems. This generalizes the results of Alikakos and Rothe. The results on positive steady states (especially for systems of three eq