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Concentrated solutions for a critical nonlocal problem

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成果类型:
期刊论文
作者:
Wang, Qingfang*
通讯作者:
Wang, Qingfang
作者机构:
[Wang, Qingfang] Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430023, Peoples R China.
通讯机构:
[Wang, Qingfang] W
Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430023, Peoples R China.
语种:
英文
关键词:
Critical nonlinearity;Fractional Laplacian;Lyapunov–Schmidt reduction method
期刊:
BOUNDARY VALUE PROBLEMS
ISSN:
1687-2770
年:
2020
卷:
2020
期:
1
页码:
1-18
基金类别:
This work is supported by the National Natural Science Foundation of China (11701439). Acknowledgements Availability of data and materials
机构署名:
本校为第一且通讯机构
院系归属:
数学与计算机学院
摘要:
In this paper, we deal with a class of fractional critical problems. Under some suitable assumptions, we derive the existence of a positive solution concentrating at the critical point of the Robin function by using the Lyapunov–Schmidt reduction method. Comparing with previous work, we encounter some new challenges because of a nonlocal term. By making some delicate estimates for the nonlocal term we overcome the difficulty and ...

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