A Trudinger-Moser inequality involving L^p -norm on a closed Riemann surface
Analysis of PDEs
2019-11-19 v1
Abstract
In this paper, using the method of blow-up analysis, we obtained a Trudinger-Moser inequality involving L p -norm on a closed Riemann surface and proved the existence of an extremal function for the corresponding Trudinger-Moser functional. This extends an early result of Yang [27]. Similar result in the Euclidean space was also established by Lu-Yang [17].
Keywords
Cite
@article{arxiv.1911.07299,
title = {A Trudinger-Moser inequality involving L^p -norm on a closed Riemann surface},
author = {Mengjie Zhang},
journal= {arXiv preprint arXiv:1911.07299},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1911.04721