Bull. Korean Math. Soc. 2001; 38(4): 643-655
Printed December 1, 2001
Copyright © The Korean Mathematical Society.
Kimun Ryu and Inkyung Ahn
Korea University, Korea University
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.
Keywords: positive solution, competitive interaction, steady states, self-diffusion, fixed point index
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