Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces

Year of publication

2024

Authors

García-Bravo, Miguel; Rajala, Tapio; Takanen, Jyrki

Abstract

We prove an estimate on the Hausdorff dimension of the set of two-sided boundary points of general Sobolev extension domains on Euclidean spaces. We also present examples showing lower bounds on possible dimension estimates of this type.

Organizations and authors

University of Jyväskylä

Takanen Jyrki

Garcia Bravo Miguel

Rajala Tapio

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Journal/Series

Potential Analysis

Publisher

Springer

Volume

Issue

Pages

1249-1270

ISSN

0926-2601

Publication forum

65320

Publication forum level

Open access

Open access in the publisher’s service

Yes

Open access of publication channel

Partially open publication channel

Self-archived

Yes

Other information

Fields of science

Mathematics

Keywords

[object Object],[object Object]

Publication country

Netherlands

Internationality of the publisher

International

Language

English

International co-publication

Co-publication with a company

DOI

10.1007/s11118-023-10086-5

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes