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研究了一类反应扩散方程Ｄｉｒｉｃｈｌｅｔ问题的非平凡解及其死核问题，证明了在某种条件下该问题存在非平凡解，且非平凡解对区域是否有死核。
The nontrivial solutions and the dead nuclei of a class of reaction-diffusion equations are studied. It is proved that the problem has nontrivial solutions under some conditions, and that the non-trivial solutions have no dead nuclei for the region.