吉林大学学报(理学版)2017,Vol.55Issue(2):235-242,8.DOI:10.13413/j.cnki.jdxblxb.2017.02.09
包含梯度项的合作椭圆方程组非平凡解的多重性
Multiplicity of Nontrivial Solutions for a Cooperative Elliptic Equations Involving Gradient Term
摘要
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.关键词
临界Sobolev指数/合作椭圆方程组/Nehari流形/Lusternik-Schnirelmann畴数Key words
critical Sobolev exponent/cooperative elliptic equations/Nehari manifold/Lusternik-Schnirelmann category分类
数理科学引用本文复制引用
樊自安..包含梯度项的合作椭圆方程组非平凡解的多重性[J].吉林大学学报(理学版),2017,55(2):235-242,8.基金项目
湖北省教育厅科学研究计划项目(批准号:B2015032). (批准号:B2015032)