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一类具有线性和非线性耦合项的Kirchhoff型方程组的基态解 被引量：1

Ground State Solutions of a Class of Kirchhoff Type Systems with Linear and Nonlinear Couplings Terms
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摘要 讨论了一类具有线性和非线性耦合项的Kirchhoff型方程组基态解的存在性.首先利用Nehari流形讨论了常数位势时该方程组基态解的存在性;其次当位势函数满足给定条件时,获得了该方程组基态解特别是变号基态解的存在性. In this paper,the existence of ground state solutions has been studied for a class of Kirchhoff type equations with linear and nonlinear coupling terms.Firstly,the existence of the ground state solution of the system of equations with constant potential is discussed by using the Nehari manifold.Secondly,when the potential function satisfies the given conditions,the existence of the system of equations,especially the sign-changing solutions,is obtained.
作者 李振辉 许丽萍 LI Zhenhui;XU liping(School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China)
机构地区 河南科技大学数学与统计学院
出处 《西南师范大学学报（自然科学版）》 CAS 2022年第4期37-44,共8页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金项目(11671403,11671236).
关键词 Kirchhoff型方程组 NEHARI流形 变号基态解 Kirchhoff type system Nehari manifold sign-changing ground state solution
分类号 O175.29 [理学—基础数学]
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西南师范大学学报（自然科学版）
2022年 第4期

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