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A Trudinger—Moser Inequality Involving Lp-norm on a Closed Riemann Surface

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Abstract

In this paper, using the method of blow-up analysis, we obtained a Trudinger—Moser inequality involving Lp-norm on a closed Riemann surface and proved the existence of an extremal function for the corresponding Trudinger—Moser functional.

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Authors and Affiliations

  1. School of Mathematics, Renmin University of China, Beijing, 100872, P. R. China

    Meng Jie Zhang

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  1. Meng Jie Zhang
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Zhang, M.J. A Trudinger—Moser Inequality Involving Lp-norm on a Closed Riemann Surface. Acta. Math. Sin.-English Ser. 37, 538–550 (2021). https://doi.org/10.1007/s10114-020-0004-z

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  • DOI: https://doi.org/10.1007/s10114-020-0004-z

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