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Solutions for a nonlocal problem involving a Hardy potential and critical growth

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Abstract

In this paper, combining an approximating argument and some local Pohozaev identities, we obtain infinitely many weak solutions for a nonlocal problem with a Hardy potential and critical growth.

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Acknowledgements

The authors would like to thank the referee for insightful and helpful comments on an earlier version of the paper. This work was partially supported by NSFC (No. 12071169; No. 11601194)and the Fundamental Research Funds for the Central Universities (No. KJ02072020-0319).

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Authors and Affiliations

  1. School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, 430079, P. R. China

    Chunhua Wang

  2. School of Science, Jiangsu University of Science and Technology, Zhenjiang, 212003, P. R. China

    Jing Yang

  3. School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, 430074, P. R. China

    Jing Zhou

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  1. Chunhua Wang
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  2. Jing Yang
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Correspondence to Chunhua Wang.

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Wang, C., Yang, J. & Zhou, J. Solutions for a nonlocal problem involving a Hardy potential and critical growth. JAMA 144, 261–303 (2021). https://doi.org/10.1007/s11854-021-0181-4

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  • DOI: https://doi.org/10.1007/s11854-021-0181-4

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