The sharp quantitative isocapacitary inequality (the case of\n p-capacity)

2020/10/08 by Ekaterina Mukoseeva, Mukoseeva, Ekaterina
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Analytic Number Theory Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Inequalities and Applications #Nonlinear Partial Differential Equations #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2010.04604

openalex publication_date 2020/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a sharp quantitative form of isocapacitary inequality in the case of\na general p. This work is a generalization of the author's paper with Guido\nDe Philippis and Michele Marini, where we treated the case of 2-capacity.\n

Citations

• Boundary regularity for solutions of degenerate elliptic equations
• A minimum problem with free boundary for a degenerate quasilinear operator

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