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Extremal functions for a class of trace Trudinger-Moser inequalities

Published 12 Nov 2019 in math.AP | (1911.04721v3)

Abstract: In this paper, we concern trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary. This kind of inequalities were extensively studied by Osgood-Phillips-Sarnak [24], Liu [20], Li-Liu [17], Yang [31, 32] and others. We establish several trace Trudinger-Moser inequalities and obtain the corresponding extremals via the method of blow-up analysis. The results in the current paper generalize those of Li-Liu [17] and Yang [32, 33].

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Authors (1)

  1. Mengjie Zhang 

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