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

被引：0
|
作者：
Tang, Biyun [1 ]
Lan, Yongyi [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 37卷 / 04期
关键词：
Kirchhoff equation; Nehari-Pankov manifold; ground state solution; multiplicity of solutions; SCHRODINGER-EQUATION; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS;
D O I：
10.4208/jpde.v37.n4.2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the Kirchhoff type elliptic problem ( f ) a+b R N [|del u|2+V(x)u2]dx [ - Du + V ( x ) u ] = f(x,u), x is an element of RN, where both V and f are periodic in x , 0 belongs to a spectral gap of - D + 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.
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页码：377 / 401
页数：25
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