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Nontrivial equilibrium solutions for a semilinear reaction-diffusion system

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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.

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Authors and Affiliations

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Correspondence to Sun Wen-jun Doctor.

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Communicated by Duan Zhu-ping, Original Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundation of China (10171029)

Biographies: Gu Yong-geng (1942≈); Sun Wen-jun (1974≈)

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Yong-geng, G., Wen-jun, S. Nontrivial equilibrium solutions for a semilinear reaction-diffusion system. Appl Math Mech 25, 1382–1389 (2004). https://doi.org/10.1007/BF02438295

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  • DOI: https://doi.org/10.1007/BF02438295

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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