Multiple normalized solutions for quasi-linear Schrodinger equations

被引：70
|
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.
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页码：3894 / 3928
页数：35
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