Mengjie Zhang
Published 2019-11-12Version 1
In this paper, we concern trace Trudinger-Moser inequalities on a compact Riemann surface with boundary. This kind of inequalities were originally obtained by Liu [19], extended by Li-Liu [16] and Yang [30, 31]. We prove the existence of extremal functions via the method of blow-up analysis. The results in the current paper generalize those of Li-Liu [16] and Yang [32].
Kazdan-Warner Problem on Compact Riemann Surfaces with Smooth Boundary
Extremal functions for Adams' inequalities in dimension four
On a sharp inequality of Adimurthi-Druet type and extremal functions
![QR code for arXiv:1911.04721 [math.AP]](http://oss.arxitics.com/images/favicon.svg)