一类半线性反应扩散方程组的非平凡平衡解

基金项目: 国家自然科学基金资助项目(10171029)

Nontrivial Equilibrium Solutions for a Semilinear Reaction-Diffusion System

1.
Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China;

摘要: 利用正锥上的度理论，结合精细的先验估计技巧，讨论了一类强非线性弱耦合的反应扩散方程组，得到了其非平凡平衡解的存在性以及解的结构．
- 半线性反应扩散方程组 /
- 平衡解 /
- 先验估计
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.
- semilinear reaction-diffusion system /
- equilibrium solution /
- priori estimate

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