关于方程Δu=c︱Du︱^(p-1)的非平凡解及死核问题

On the nontrivial solutions and dead core problem for the equation Δu=c︱Du(X)︱^(p-1)

研究Rn(n≥ 2 )中一类半线性椭圆方程的非平凡解及其死核问题 ,证明了在参数p的某一范围内 ,该问题存在一个非负的非平凡解 ,且该解具有死核 ;

The existence of nontrivial solutions and dead core problem for a class of semi linear elliptic equations in n dimension space( n ≥2)are studied.This problem has a nontrivial nonnegative solution which has a dead core for some parameters p ,and moreover the asymptotic property for its dead core is obtained as c approaches to + ∞ .