全空间上带Hardy-Sobolev项的拟线性椭圆方程解的存在性

Solutions for the Quasilinear Elliptic Equation with Critical Hardy-Sobolev Exponents in R^N

讨论了全空间上一类带Hardy-Sobolev项的拟线性椭圆问题,利用集中紧原理和适当的实验函数,得到并验证了(PS)_c条件,从而证明了该问题非平凡解的存在性.

In this artical, we study the quasilinear elliptic equation with Hardy-Sobolev critical exponents in RN .by using concentration-compactness principle and choosing a test function to verify （PS）cconditions,we obtain the existence to the problem.