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arXiv · 2401.00937

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

Jeffrey S. Case·Yueh-Ju Lin·Stephen E. McKeown·Cheikh Birahim Ndiaye·Paul Yang
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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.

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Jeffrey S. Case, Yueh-Ju Lin, Stephen E. McKeown, Cheikh Birahim Ndiaye, Paul Yang. 2024-01-01. A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball. https://arxiv.org/abs/2401.00937

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