Existence of ground state solutions to some Nonlinear Schrodinger equations on lattice graphs

被引：9
|
作者：
Hua, Bobo [1 ,2 ]
Xu, Wendi [3 ]
机构：
[1] Fudan Univ, Sch Math Sci, LMNS, Shanghai 200433, Peoples R China
[2] Fudan Univ, Shanghai Ctr Math Sci, Jiangwan Campus,2005 Songhu Rd, Shanghai 200438, Peoples R China
[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 04期
关键词：
35Q55; 39A14; 58E30;
D O I：
10.1007/s00526-023-02470-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the nonlinear Schrodinger equation -?u + V (x)u = f (x, u) on the lattice graph Z(N). Using the Nehari method, we prove that when f satisfies some growth conditions and the potential function V is periodic or bounded, the above equation admits a ground state solution. Moreover, we extend our results from Z(N) to quasi-transitive graphs.
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页数：17
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