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arXiv · 1911.04721

Extremal functions for a class of trace Trudinger-Moser inequalities

Mengjie Zhang
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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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Mengjie Zhang. 2019-11-12. Extremal functions for a class of trace Trudinger-Moser inequalities. https://arxiv.org/abs/1911.04721

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