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  • 标题:Concentrated solutions for a critical nonlocal problem
  • 本地全文:下载
  • 作者:Qingfang Wang
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13661-020-01443-z
  • 出版社:Hindawi Publishing Corporation
  • 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 find a bubbling solution.
  • 关键词:35B33 ; 35J60
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