一类含有扰动项的Kirchhoff型方程解的多重性  

Multiplicity of Solutions to a Class of Kirchhoff Type Equation with Perturbation Terms

作　　者：汤碧云 蓝永艺[1] TANG Biyun;LAN Yongyi(School of Science,Jimei University,Xiamen 361021,China)

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2021年第4期374-378,共5页Journal of Jimei University：Natural Science

基　　金：福建省自然科学基金项目(2020J01708)。

摘　　要：考虑含有扰动项的非线性Kirchhoff型问题-(a+b∫Ωu 2 d x)Δu=f(x,u)+h(x)。在非线性项f适当的假设条件下,利用Nehari流形、临界点理论和一些分析技巧,研究一类含有扰动项的Kirchhoff型方程解的多重性。This paper is dedicated to study the nonlinear Kirchhoff type problem with perturbation terms-(a+b∫Ωu 2 d x)Δu=f(x,u)+h(x).Under suitable assumptions on the nonlinear term f,it was shown that the Kirchhoff type equation with perturbation terms had multiplicity of solutions by Nehari manifold,critical point theory and some analysis techniques.

关 键 词：Kirchhoff型方程 NEHARI流形 扰动项 临界点理论 

分 类 号：O177.91[理学—数学]