讨论了非齐次椭圆偏微分方程Δu+u^p+u^q+f(x)=0,x∈R^n正解存在的必要条件.得到了一个较优的估计和正解存在的必要条件,从而得到解不存在的一些充分条件.
This paper discussed the necessary condition of the existence of positive solu tions for the following elliptic problem Δu+u^p+u^q+f(x)=0,x∈R^n.Necessary conditions and a priori estimates were obtained. Moreover, some sufficient conditions for the nonexistenee of positive solutions were obtained.