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

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