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.

引用

页码：377 / 401

页数：25

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