A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball
Differential Geometry
2024-01-03 v1 Analysis of PDEs
Abstract
We show that the half-ball in can be conformally changed so that the only contribution to the Gauss--Bonnet formula is a constant term at the corner. This may be seen as a fourth-order Cherrier--Escobar-type problem on the half-ball.
Cite
@article{arxiv.2401.00937,
title = {A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball},
author = {Jeffrey S. Case and Yueh-Ju Lin and Stephen E. McKeown and Cheikh Birahim Ndiaye and Paul Yang},
journal= {arXiv preprint arXiv:2401.00937},
year = {2024}
}
Comments
28 pages