包含次临界和临界Sobolev指数的Schrdinger-Possion方程的正解

Positive Solutions for one Schrdinger-Possion System Involving Subcritical or Critical Sobolev Exponents

讨论了一类包含次临界和临界Sobolev指数的Schrdinger-Possion方程解的存在性.应用Nehari流形和变分方法,在不同情况下,得到了方程至少存在一个解.

In this paper, we study one Schrodinger-Possion system involving subcritical orcritical Sobolev exponents. By Nehari manifold and Variational methods, we prove that thesystem has at least one positive solution under different cases.