包含次临界和临界Sobolev指数及梯度项的合作椭圆方程组

On Gradient-Type Cooperative Elliptic Systems Involving Subcritical or Critical Sobolev Exponents

讨论了一类包含次临界和临界Sobolev指数及梯度项的合作椭圆方程组.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的结论.

This paper is related to the discussion on a class of gradient-type cooperative elliptic systems involving subcritical or critical Sobolev exponents.With the Nehari manifold and variational methods,it is proved that there exists at least one nontrivial solution of the systems under different cases.