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Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrodinger equation in R-2

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成果类型:
期刊论文
作者:
Liu, Zhisu;Ouyang, Zigen;Zhang, Jianjun*
通讯作者:
Zhang, Jianjun
作者机构:
[Ouyang, Zigen; Liu, Zhisu] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Zhang, Jianjun] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China.
[Zhang, Jianjun] Univ Insubria, Dipartimento Sci & Alta Tecnol, Via GB Vico 46, I-21100 Varese, Italy.
通讯机构:
[Zhang, Jianjun] C
[Zhang, Jianjun] U
Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China.
Univ Insubria, Dipartimento Sci & Alta Tecnol, Via GB Vico 46, I-21100 Varese, Italy.
语种:
英文
关键词:
gauged Schrodinger equations;sign-changing solutions;invariant sets of descending flow
期刊:
NONLINEARITY
ISSN:
0951-7715
年:
2019
卷:
32
期:
8
页码:
3082-3111
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [11871123]; NSF of Hunan Province [2017JJ3265]; Science and Technology Plan Project of Hengyang City [2017KJ183]; Research Foundation of Education Bureau of Hunan Province [16A031]
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
We are concerned with sign-changing solutions of the following gauged nonlinear Schrodinger equation in dimension two including the so-called Chern-Simons term {-Delta u + omega u + (h2(vertical bar x vertical bar)/vertical bar x vertical bar(2) + integral(+infinity)(vertical bar x vertical bar) h(s)/s u(2)(s) ds) u = u = lambda vertical bar u vertical bar(p-2) u in R-2, u(x) = u(vertical bar x vertical bar) is an element of H-1(R-2), where omega, lambda > 0, p is an element of (4, 6) and h(s) = 1/2 integral(s)(0) tau u(2)(tau)d tau. Via a novel perturbation approach and the method of invarian...

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