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

preprint2024arXivOpen access

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.

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

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