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

2024/10/13 by Chu, BaoZhi, Li, YanYan, Li, Zongyuan · 1 citation
#35J60 (Primary) 53C21 #58J05 (Secondary) #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.09683

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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• Boundary estimates for a fully nonlinear Yamabe problem on Riemannian manifolds

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