关键词: 合作椭圆方程组, Lusternik-Schnirelmann畴数, Nehari流形, 临界Sobolev指数

Abstract: By using LusternikSchnirelmann category theory, the author considered a class of cooperative elliptic equations involving parameter and gradient term, and obtained the multiplicity of nontrivial solutions of the equations under certain conditions.

Key words: Nehari manifold, critical Sobolev exponent, LusternikSchnirelmann category, cooperative elliptic equations