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Landau-Type Theorems of Polyharmonic Mappings and log-p-Harmonic Mappings

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Abstract

In this paper, we first establish three new Landau-type theorems of polyharmonic mappings, which extend the related results of biharmonic mappings of earlier authors. Then three new Landau-type theorems of log-p-harmonic mappings are also provided.

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Acknowledgements

The authors are grateful to the anonymous referees for making many valuable suggestions that improved the quality and the readability of this paper. The research was financially supported by Guangdong Natural Science Foundation (Grant No.2014A030313422).

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Correspondence to Ming-Sheng Liu.

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Communicated by Dan Volok.

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Bai, XX., Liu, MS. Landau-Type Theorems of Polyharmonic Mappings and log-p-Harmonic Mappings. Complex Anal. Oper. Theory 13, 321–340 (2019). https://doi.org/10.1007/s11785-018-0784-7

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  • DOI: https://doi.org/10.1007/s11785-018-0784-7

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