Uniqueness results for positive harmonic functions on \mathbbBⁿ satisfying a nonlinear boundary condition

2019/12/11 by Qianqiao Guo, Xiaodong Wang, Guo, Qianqiao +1 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1912.05568

openalex publication_date 2019/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove some uniqueness results for positive harmonic functions on the unit ball satisfying a nonlinear boundary condition

Citations

• Uniqueness theorems through the method of moving spheres
• The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation

Cited by

• Uniqueness results for positive harmonic functions on manifolds with nonnegative Ricci curvature and strictly convex boundary
• A note on Wang's conjecture for harmonic functions with nonlinear boundary condition

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