Extremal functions for a class of trace Trudinger-Moser inequalities
Analysis of PDEs
2019-12-25 v3
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].
Keywords
Cite
@article{arxiv.1911.04721,
title = {Extremal functions for a class of trace Trudinger-Moser inequalities},
author = {Mengjie Zhang},
journal= {arXiv preprint arXiv:1911.04721},
year = {2019}
}