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Multiple normalized solutions for quasi-linear Schrodinger equations
被引:78
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
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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