On the dirichlet problem for elliptic systems
- 1 April 1986
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 21 (3) , 207-224
- https://doi.org/10.1080/00036818608839592
Abstract
The system δu + u(a-bu-cv) =0 , δv + v(d-eu-fv) =0 represents stationary solutions of a competing species model. Conditions on the positive constants a,... ,f for existence and uniqueness of positive solutions are given. The results are based on theorems combining degree theory and super- and subfunction techniques for elliptic systems Au+f(x,u) with Dirichlet boundary data.Keywords
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