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Existence and concentration behavior of sign-changing solutions for quasilinear Schrodinger equations

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成果类型:
期刊论文
作者:
Deng YinBin;Shuai Wei*
通讯作者:
Shuai Wei
作者机构:
[Shuai Wei; Deng YinBin] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构:
[Shuai Wei] C
Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
sign-changing solution;quasilinear Schrodinger equations;concentration profile
关键词(中文):
浓度分布;拟线性;解的存在性;方程;行为;非线性项;临界增长;连续函数
期刊:
中国科学:数学英文版
ISSN:
1674-7283
年:
2016
卷:
59
期:
6
页码:
1095-1112
基金类别:
National 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:
We consider the quasilinear Schrodinger equations of the form where ε > 0 is a small parameter, the nonlinearity g(u) ∈ C~1(R) is an odd function with subcritical growth and V (x) is a positive Holder continuous function which is bounded from below, away from zero, and inf_Λ V (x) < inf_(?Λ) V (x) for some open bounded subset Λ of R~N. We prove that there is an ε0 > 0 such that for all ε ∈ (0, ε0], the above mentioned problem possesses a sign-changing solution uε which exhibits concentration pro...

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