Extremal function for a sharp Moser-Trudinger type inequality on the upper half space
Analysis of PDEs
2025-01-07 v2
Abstract
Sharp Moser-Trudinger type inequalities and their extremal functions play an important role in studying nonlinear PDEs and geometry. We establish a new sharp Moser-Trudinger type inequality in the upper half space in two dimensions and prove the existence of extremal functions for a sharp Moser-Trudinger type inequality under dynamic changes in the unit ball.
Cite
@article{arxiv.2305.06049,
title = {Extremal function for a sharp Moser-Trudinger type inequality on the upper half space},
author = {Yubo Ni},
journal= {arXiv preprint arXiv:2305.06049},
year = {2025}
}