Multiple normalized solutions for quasi-linear Schrodinger equations

被引：80

作者：

Jeanjean, Louis ^{[1
]}

Luo, Tingjian ^{[1
,2
]}

Wang, Zhi-Qiang ^{[3
,4
]}

机构：

[1] Univ Franche Comte, Math Lab, UMR 6623, F-25030 Besancon, France

[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[3] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

[4] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 08期

关键词：

L-2-normalized solutions; Liouville type results; Quasi-linear Schrodinger equations; Perturbation method; SCALAR FIELD-EQUATIONS; ELLIPTIC-EQUATIONS; GROUND-STATES; STANDING WAVES; SOLITON-SOLUTIONS; PRESCRIBED NORM; EXISTENCE; POISSON; INSTABILITY; UNIQUENESS;

D O I：

10.1016/j.jde.2015.05.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the existence of two solutions having a prescribed L-2-norm for a quasi-linear Schrodinger equation. One of these solutions is a mountain pass solution relative to a constraint and the other one a minimum either local or global. To overcome the lack of differentiability of the associated functional, we rely on a perturbation method developed in [25]. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：3894 / 3928

页数：35

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