POSITIVE COEXISTENCE OF STEADY STATES FOR COMPETITIVE INTERACTING SYSTEM WITH SELF-DIFFUSION PRESSURES

  • Ryu, Ki-Mun (DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY) ;
  • Ahn, In-Kyung (DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY)
  • Published : 2001.01.01

Abstract

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.

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