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Nodal soliton solutions for quasilinear Schrodinger equations with critical exponent

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成果类型:
期刊论文
作者:
Deng, Yinbin*;Peng, Shuangjie(彭双阶);Wang, Jixiu
通讯作者:
Deng, Yinbin(彭双阶
作者机构:
[Peng, Shuangjie; Deng, Yinbin] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Wang, Jixiu] Xiangfan Univ, Sch Math & Comp Sci, Xiangfan 441053, Peoples R China.
通讯机构:
[Deng, Yinbin] H
Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
critical exponents, minimisation, nonlinear differential equations, Schrodinger equation, solitons
期刊:
Journal of Mathematical Physics
ISSN:
0022-2488
年:
2013
卷:
54
期:
1
页码:
011504-1-011504-27
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11071093, 11071094, 11101347]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
This paper is concerned with constructing nodal radial solutions for quasilinear Schrodinger equations in R-N with critical growth which have appeared as several models in mathematical physics. For any given integer k >= 0, by using a change of variables and minimization argument, we obtain a sign-changing minimizer with k nodes of a minimization problem. Since the critical exponent appears and the lower order term may change sign, we should use more delicate arguments. (C) 2013 American...

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