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Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity

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Abstract

In this paper, we consider a fractional critical Kirchhoff-Choquard system involving singular nonlinearity and the parameter \(\lambda \). By the decomposition of Nehari manifold, we prove that above system admits at least two nontrivial solutions when \(\lambda \) satisfies certain condition.

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Acknowledgements

This research is supported by the Programs for the Cultivation of Young Scientific Research Personnel of Higher Education Institutions in Shanxi Province, the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (201802085), the Innovative Research Team of North University of China(TD201901) and Shanxi Scholarship Council of China (2021-107).

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Authors and Affiliations

  1. Department of Mathematics, School of Science, North University of China, Taiyuan, 030051, People’s Republic of China

    Yanbin Sang

  2. Department of Natural Sciences in the Center for General Education, Chang Gung University, Tao-Yuan, 333, Taiwan

    Tsing-San Hsu

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  1. Yanbin Sang
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  2. Tsing-San Hsu
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Correspondence to Yanbin Sang.

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Sang, Y., Hsu, TS. Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity. J. Pseudo-Differ. Oper. Appl. 13, 10 (2022). https://doi.org/10.1007/s11868-021-00438-3

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  • DOI: https://doi.org/10.1007/s11868-021-00438-3

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