【摘要】 设f:RN×R+×RN→R为连续函数.本文研究形如?u+f(x,u,?u)=0,x∈RN(N≥3)的半线性椭圆方程的非径向正整体解,给出了该类方程存在衰减(即当x→∞时趋于0)的正整体解的充分条件.更多还原

【Abstract】 Suppose f : RN×R+× RN →R is a continuous function.This paper investigates N-dimensional semilinear elliptic equations of the form ?u = f(x,u,?u),x∈RN(N≥3)and gives a sufficient condition under which the equations have a positive entire solution vanishing at infinity.更多还原