关于一类反应扩散方程的非平凡解及其死核问题

On Nontrivial Solution and Dead Core Problem of a Class of Reaction Diffusion Equations

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 existence of nontrivial solution and dead core problem of a class of reaction diffusion equations are studied, and the equations have nontrivial solution whether it has dead core in some conditions.