Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (12): 1382-1389.

• Articles • Previous Articles     Next Articles

NONTRIVIAL EQUILIBRIUM SOLUTIONS FOR A SEMILINEAR REACTION-DIFFUSION SYSTEM

GU Yong-geng1,2, SUN Wen-jun2   

  1. 1. Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China;
    2. Academy of Mathematics and Systems Sciences, CAS, Beijing 100080, P. R. China
  • Received:2003-02-25 Revised:2004-07-15 Online:2004-12-18 Published:2004-12-18
  • Supported by:

    the National Natural Science Foundation of China (10171029)

Abstract: By the degree theory on positive cone together with the technique of a priori estimate, the nontrivial equilibrium solutions of a strong nonlinearity and weak coupling reaction diffusion system and the structure of the equilibrium solutions are discussed.

Key words: semilinear reaction-diffusion system, equilibrium solution, priori estimate

2010 MSC Number: 

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