Estimates for modified σ₂ curvature equation on compact manifolds with boundary

2024/05/21 by Xuezhang Chen, Wei Wei, Chen, Xuezhang +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2405.13134

openalex publication_date 2024/05/21 · openalex created_date 2024/05/25 · openalex updated_date 2026/07/28

Abstract

We establish the global C²-estimates for the modified σ₂ curvature equation with prescribed boundary mean curvature, and particularly, the local boundary C² estimates on three-manifolds.

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