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Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations

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成果类型:
期刊论文
作者:
Deng, Yinbin*;Peng, Shuangjie(彭双阶);Yan, Shusen
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.
[Yan, Shusen] Univ New England, Dept Math, Armidal, Australia.
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:
35J20;35J62;35Q55;Critical exponents;Quasilinear Schrödinger equations;Solitary wave solutions
期刊:
Journal of Differential Equations
ISSN:
0022-0396
年:
2016
卷:
260
期:
2
页码:
1228-1262
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11371160, 11328101]; Program for Changjiang Scholars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT) [IRT13066]
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 the solitary wave solutions for a generalized quasilinear Schrodinger equation in RN involving critical exponents, which have appeared from plasma physics, as well as high-power ultashort laser in matter. We find the related critical exponents for a generalized quasilinear Schrodinger equation and obtain its solitary wave solutions by using a change of variables and variational arg...

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