A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball

Abstract

We show that the half-ball in ${\mathbb{R}}^4$ 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.

28 pages