A sharp Sobolev trace inequality of order four on three-balls
Analysis of PDEs
2024-03-04 v1 Differential Geometry
Abstract
We establish a fourth order sharp Sobolev trace inequality on three-balls, and its equivalence to a third order sharp Sobolev inequality on two-spheres.
Cite
@article{arxiv.2403.00380,
title = {A sharp Sobolev trace inequality of order four on three-balls},
author = {Xuezhang Chen and Shihong Zhang},
journal= {arXiv preprint arXiv:2403.00380},
year = {2024}
}
Comments
29 pages. Comments are welcome!