Remarks on extremals of sharp Sobolev trace inequalities on the unit balls
Analysis of PDEs
2022-10-04 v1
Abstract
We show explicit forms for extremals of some fourth-order sharp trace inequalities on the unit balls recently proved by Ache-Chang. We also give a classification result of the bi-harmonic equation on with some conformally covariant boundary conditions.
Keywords
Cite
@article{arxiv.2210.00256,
title = {Remarks on extremals of sharp Sobolev trace inequalities on the unit balls},
author = {Cheikh Birahim Ndiaye and Liming Sun},
journal= {arXiv preprint arXiv:2210.00256},
year = {2022}
}
Comments
All comments are welcome