POSITIVE COEXISTENCE OF STEADY STATES FOR COMPETITIVE INTERACTING SYSTEM WITH SELF-DIFFUSION PRESSURES
Kimun Ryu, Inkyung Ahn · Bulletin of the Korean Mathematical Society · 2001
We discuss the existence of positive solutions to a certain nonlinear elliptic system representing a competition interaction with self-diffusion. The method used here is a fixed point index theory in a positive cone. We give a sufficient condition for the existence of positive solutions.