On the fully nonlinear Yamabe problem with constant boundary mean curvature. I

BaoZhi Chu; YanYan Li; Zongyuan Li

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arXiv · 2410.09683

On the fully nonlinear Yamabe problem with constant boundary mean curvature. I

BaoZhi Chu·YanYan Li·Zongyuan Li

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Abstract

In a recent paper, we established optimal Liouville-type theorems for conformally invariant second-order elliptic equations in the Euclidean space. In this work, we prove an optimal Liouville-type theorem for these equations in the half-Euclidean space.

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BaoZhi Chu, YanYan Li, Zongyuan Li. 2024-10-13. On the fully nonlinear Yamabe problem with constant boundary mean curvature. I. https://arxiv.org/abs/2410.09683

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