A perturbation result for the Q _gamma curvature problem on \mathbbSⁿ

2013/08/02 by Guoyuan Chen, Chen, Guoyuan, Youquan Zheng +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1308.0425

openalex publication_date 2013/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the problem of prescribing the Q _gamma curvature on \mathbbSⁿ. Using a perturbation method, we obtain existence results for curvatures close to a positive constant.

Citations

• Uniqueness theorems through the method of moving spheres
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

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