Aubin type almost sharp Moser-Trudinger inequality revisited
Analysis of PDEs
2021-08-25 v1 Classical Analysis and ODEs
Abstract
We give a new proof of the almost sharp Moser-Trudinger inequality on compact Riemannian manifolds based on the sharp Moser inequality on Euclidean spaces. In particular we can lower the smoothness requirement of the metric and apply the same approach to higher order Sobolev spaces and manifolds with boundary under several boundary conditions.
Cite
@article{arxiv.2108.10484,
title = {Aubin type almost sharp Moser-Trudinger inequality revisited},
author = {Fengbo Hang},
journal= {arXiv preprint arXiv:2108.10484},
year = {2021}
}
Comments
30 pages