包含次临界和临界Sobolev指数的椭圆方程组解的存在性

Existence of Solutions for Elliptic Systems Involving Subcritical or Critical Sobolev Exponents

本文讨论了一类包含次临界和临界Sobolev指数的椭圆方程组解的存在性.应用Nehari流形和变分方法,在不同情况下,得到了方程组至少存在一个解.

This paper discusses one elliptic systems involving subcritical or critical Sobolev exponents.By Nehari manifold and Variational methods,we prove that the systems has at least one positive solution under different cases.