Dimension estimate for the two-sided points of planar Sobolev extension domains

2021/06/23 by Jyrki Takanen, Takanen, Jyrki
Computer Science · Mathematics · #28A75 #46E35 #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2106.12376

openalex publication_date 2021/06/23 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In this paper we give an estimate for the Hausdorff dimension of the set of two-sided points of the boundary of bounded simply connected Sobolev W^1,p-extension domain for 1

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