Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains

2021/03/04 by Nicola Fusco, Fusco, Nicola, Massimiliano Morini +1 · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2103.03299

openalex publication_date 2021/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We settle the case of equality for the relative isoperimetric inequality outside any arbitrary convex set with not empty interior.

Cited by

• The isoperimetric inequality for the capillary energy outside convex sets
• Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms

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