正扰动下一类R^N上临界增长的椭圆型方程的正解的存在性

The Existence of Positive Solutions of a Quasilinear Elliptic Equation on R^N of Critical Increasing with Positive-perturbation

本文讨论了如下方程:并得到了它的正解的存在性,其中g(x,U)为U^(P-1)的低阶扰动。它是文[1]的继续。

This paper is concerned with the existence of positive solutions for the following problem:-div(|Du|^(P-2)Du)+k (x)u^(P-1)=K (x) U^(P-1)+g (x, u),u∈W^(1,R) (R^N)4,≤P^2≤N, P=NP/N-p, whereg (x, u) is a lower-order perturbation of u^(P-1), It is the continuation of the zero-perturbation case