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Multiplicity and concentration of solutions for fractional Schrödinger equation with sublinear perturbation and steep potential well

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成果类型:
期刊论文
作者:
Yang, Liu;Liu, Zhisu*
通讯作者:
Liu, Zhisu
作者机构:
[Yang, Liu] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421008, Hunan, Peoples R China.
[Yang, Liu] Hunan Univ, Dept Math, Changsha 410075, Hunan, Peoples R China.
[Liu, Zhisu] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Liu, Zhisu] U
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Fractional Laplacian;Variational method;Multiplicity;Concentration
期刊:
Computers & Mathematics with Applications
ISSN:
0898-1221
年:
2016
卷:
72
期:
6
页码:
1629-1640
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
In this paper, we investigate the following fractional Schrödinger equation with sublinear perturbation and steep potential well {(−▵)su+λV(x)u=f(x,u)+α(x)|u|ν−2uinRN,u∈Hs(RN), where 0<s<1,2s<N,λ>0,1<ν<2, f∈C(RN×R) is of subcritical growth. By using variational methods, we prove that such a class of equations possess at least two nontrivial solutions. Moreover, the phenomenon of concentration of solutions is explored as well. ©2016 Elsevier...

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