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On local behavior of singular positive solutions to nonlocal elliptic equations

Calculus of Variations and Partial Differential Equations volume 56, Article number: 9 (2017) Cite this article

Abstract

We study local behavior of positive solutions to the fractional Yamabe equation with a singular set of fractional capacity zero.

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Acknowledgements

the authors would like to thank the referee for his/her valuable suggestions.

Author information

Authors and Affiliations

  1. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

    Tianling Jin

  2. Department of Computing and Mathematical Sciences, California Institute of Technology, 1200 E. California Blvd., MS 305-16, Pasadena, CA, 91125, USA

    Tianling Jin

  3. Departamento de Matemática, Universidade Estadual de Campinas, IMECC, Rua Sérgio Buarque de Holanda 651, Campinas, SP, CEP 13083-859, Brazil

    Olivaine S. de Queiroz

  4. Department of mathematics, Johns Hopkins University, Krieger Hall, Baltimore, USA

    Yannick Sire

  5. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

    Jingang Xiong

Authors
  1. Tianling Jin
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  2. Olivaine S. de Queiroz
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  3. Yannick Sire
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  4. Jingang Xiong
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Corresponding author

Correspondence to Yannick Sire.

Additional information

Communicated by L. Caffarelli.

T. Jin: Supported in part by Hong Kong RGC Grant ECS 26300716. O. S. de Queiroz: Partially supported by CNPq-Brazil. J. Xiong: Supported in part by NSFC 11501034, NSFC 11571019, Beijing MCESEDD (20131002701) and the Fundamental Research Funds for the Central Universities.

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Jin, T., de Queiroz, O.S., Sire, Y. et al. On local behavior of singular positive solutions to nonlocal elliptic equations. Calc. Var. 56, 9 (2017). https://doi.org/10.1007/s00526-016-1102-8

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  • DOI: https://doi.org/10.1007/s00526-016-1102-8

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