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Nodal solutions for a generalized quasilinear Schrödinger equation with critical exponents

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成果类型:
期刊论文
作者:
Cheng, Kun*;Deng, Yinbin
通讯作者:
Cheng, Kun
作者机构:
[Deng, Yinbin; Cheng, Kun] Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构:
[Cheng, Kun] H
Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Constrained minimization problem;Critical exponents;Mountain pass lemma;Nodal solutions;Quasilinear Schrödinger equations
期刊:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN:
1078-0947
年:
2017
卷:
37
期:
1
页码:
77-103
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 constructing nodal radial solutions for generalized quasilinear Schrödinger equations in RN with critical growth which arise from plasma physics, uid mechanics, as wells the self-channeling of a high-power ultashort laser in matter. We nd the critical exponents for a generalized quasilinear Schrödinger equations and obtain the existence of sign-changing so...

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