The volume of the boundary of a Sobolev (p,q)-extension domain

2020/12/14 by Pekka Koskela, Alexander Ukhlov, Koskela, Pekka +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2012.07473

openalex publication_date 2020/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let n≥ 2 and 1≤ q2, then |∂Ω|=0. In the case 1≤ q0.

Cited by

• Sobolev Versus Homogeneous Sobolev II

Related

• The volume of the boundary of a Sobolev (p,q)-extension domain II
• Zero volume boundary for extension domains from Sobolev to BV
• Sobolev Versus Homogeneous Sobolev Extension
• Dimension estimates for the boundary of planar Sobolev extension domains
• Sobolev Versus Homogeneous Sobolev II