Ground State Solutions for Kirchhoff Equations via Modified Nehari-Pankov Manifold  

作　　者：TANG Biyun LAN Yongyi 

机构地区：[1]School of Sciences,Jimei University,Xiamen 361021,China

出　　处：《Journal of Partial Differential Equations》2024年第4期377-401,共25页偏微分方程(英文版)

基　　金：supported by Natural Science Foundation of Fujian Province(Nos.2022J01339 and 2020J01708);National Foundation Training Program of Jimei University(ZP2020057)。

摘　　要：We investigate the Kirchhoff type elliptic problem(a+b∫_(R^(N))[|∇u|^(2)+V(x)u^(2)]dx)[-Δu+V(x)u]=f(x,u),x∈R^(N),where both V and f are periodic in x,0 belongs to a spectral gap of−∆+V.Under suitable assumptions on V and f with more general conditions,we prove the existence of ground state solutions and infinitely many geometrically distinct solutions.

关 键 词：Kirchhoff equation Nehari-Pankov manifold ground state solution multiplicity of solutions 

分 类 号：O177.91[理学—数学]