Sobolev versus homogeneous Sobolev extension II

Year of publication

2026

Authors

Koskela, Pekka; Mishra, Riddhi; Zhu, Zheng

Abstract

We study the relationship between Sobolev extension domains and homogeneous Sobolev extension domains. Precisely, for a certain range of exponents p and q, we construct a (W1,p,W1,q)-extension domain which is not an (L1,p, L1,q)-extension domain.

Organizations and authors

University of Jyväskylä

Koskela Pekka

Mishra Riddhi

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

Journal of Mathematical Sciences

Publisher

Springer Nature

Volume

Early online

ISSN

1072-3374

Publication forum

60966

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],[object Object],[object Object]

Identified topic

[object Object]

Internationality of the publisher

International

Language

English

International co-publication

Yes

Co-publication with a company

DOI

10.1007/s10958-026-08269-7

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

Yes