GROUND AND BOUND STATES OF PERIODIC SCHRODINGER EQUATIONS WITH SUPER OR ASYMPTOTICALLY LINEAR TERMS

被引：0

作者：

Wu, Qingfang ^{[1
]}

Qin, Dongdong ^{[2
]}

机构：

[1] Cent S Univ, Sch Traff & Transportat Engn, Changsha 410075, Hunan, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Schrodinger equations; minimax characterization; perturbation method; Nehari-Pankov manifold; ground states; HARMONIC MAXWELL EQUATIONS; MULTIPLE SOLUTIONS; ZERO; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with existence of ground and bound states for a class of nonlinear Schrodinger equation with periodic potential. We impose general assumptions on the nonlinearity with super or asymptotically linear growth, and find some refinements of known results and new results by using the perturbation method and a mountain pass argument. In particular, a critical point theory is established for the asymptotically linear growth case.

引用

页数：26

共 50 条

[41] Nehari-Type Ground State Positive Solutions for Superlinear Asymptotically Periodic Schrodinger Equations
Lin, Xiaoyan
Tang, X. H.
ABSTRACT AND APPLIED ANALYSIS, 2014,
[42] Ground state solutions for asymptotically periodic fractional Schrodinger-Poisson problems with asymptotically cubic or super-cubic nonlinearities
Chen, Sitong
Peng, Jiawu
Tang, Xianhua
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (13) : 4948 - 4961
[43] Ground states for asymptotically periodic quasilinear Schrödinger equations with critical growth
Zhang, F. (zhangfubao@seu.edu.cn), 1600, Southeast University (29):
[44] Standing Waves for Periodic Discrete Nonlinear Schrdinger Equations with Asymptotically Linear Terms
Wenxiong ChenMinbo Yang School of Mathematical ScienceHuaqiao UniversityQuanzhou FujianChinaDepartment of MathematicsZhejiang Normal University JinhuaChina
Acta Mathematicae Applicatae Sinica(English Series), 2012, 28 (02) : 351 - 360
[45] Standing waves for periodic discrete nonlinear Schrödinger equations with asymptotically linear terms
Wen-xiong Chen
Min-bo Yang
Acta Mathematicae Applicatae Sinica, English Series, 2012, 28 : 351 - 360
[46] Standing Waves for Periodic Discrete Nonlinear Schrdinger Equations with Asymptotically Linear Terms
Wen-xiong Chen
Acta Mathematicae Applicatae Sinica, 2012, (02) : 351 - 360
[47] An asymptotically periodic Schrodinger equation with indefinite linear part
Li, GB
Szulkin, A
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2002, 4 (04) : 763 - 776
[48] Non-periodic Schrodinger lattice systems with perturbed and asymptotically linear terms: Negative energy solutions
Chen, Guanwei
Schechter, Martin
APPLIED MATHEMATICS LETTERS, 2019, 93 : 34 - 39
[49] Ground state solution for an asymptotically periodic and superlinear Schrodinger equation
Luo, Huxiao
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1432 - 1439
[50] MULTIPLE SOLUTIONS FOR SCHRODINGER LATTICE SYSTEMS WITH ASYMPTOTICALLY LINEAR TERMS AND PERTURBED TERMS
Chen, Guanwei
Schechter, Martin
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (04): : 2107 - 2114

← 1 2 3 4 5 →