Capacitary density and removable sets for Newton-Sobolev functions in metric spaces

2022/11/02 by Panu Lahti, Lahti, Panu · 1 citation
Mathematics · #30L99 #31C40 #46E36 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2211.01235

openalex publication_date 2022/11/02 · openalex created_date 2022/11/08 · openalex updated_date 2026/07/28

Abstract

In a complete metric space equipped with a doubling measure and supporting a (1,1)-Poincaré inequality, we show that every set satisfying a suitable capacitary density condition is removable for Newton-Sobolev functions.

Cited by

• On Removable Sets for Weighted Sobolev Functions

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