On the isoperimetric problem with perimeter density r^p

2017/06/29 by Gyula Csató, Csato, Gyula
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1706.09619

openalex publication_date 2017/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper the author studies the isoperimetric problem in \reⁿ with perimeter density |x|^p and volume density 1. We settle completely the case n=2, completing a previous work by the author: we characterize the case of equality if 0≤ p≤ 1 and deal with the case -∞

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