R^N上半线性椭圆型方程的一个紧结果

Acompactness Result of Semilinear Elliptic Equation on R^N

本文利用集中紧原理的一个改进给出了R^N上半线性椭圆型方程△u+f(x,u)=0,(N≥3,u(x)(?)0,u(?)0)的一个紧结果,并证明了该方程非平凡解的存在性。

In this paper, We give a compact result of semilinear elliptic equation on R^N △u + f(x, u) = 0, (N> =3, u(x) 0, u0)by an improved concentration compactness principle. We also study the existence of nontrivial solutions of the equation.