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Liouville’s theorem for generalized harmonic function

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In this paper, we give a more physical proof of Liouville’s theorem for a class generalized harmonic functions by the method of parabolic equation.

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Acknowledgements

Two authors wish to express his gratitude to the anonymous reviewers for careful reading and helpful suggestions.

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  1. Weihua Wang

    Present address: School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002, People’s Republic of China

Authors and Affiliations

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China

    Weihua Wang

  2. School of Mathematics and Finance, Putian University, Putian, 351100, People’s Republic of China

    Qihua Ruan

Authors
  1. Weihua Wang
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  2. Qihua Ruan
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Correspondence to Weihua Wang.

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This work was supported by National Natural Science Foundation of China (Grant Nos. 11871452, 11971253), National Natural Science Foundation of China and National Research Foundation of Korea jointly fund cooperation and exchange projects (NSFC-NRF, Grant No. 1191101060) and National Science Foundation of Jiangsu Higher Education Institutions of China (Grant No. 19KJD100007).

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Wang, W., Ruan, Q. Liouville’s theorem for generalized harmonic function. Anal.Math.Phys. 10, 84 (2020). https://doi.org/10.1007/s13324-020-00434-8

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  • DOI: https://doi.org/10.1007/s13324-020-00434-8

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