Local Sobolev-Poincaré Embedding Domains

Tian Liang; Zheng Zhu

doi:10.1007/s11118-025-10268-3

Local Sobolev-Poincaré Embedding Domains

Tian Liang
, Zheng Zhu^*

^*Corresponding author for this work

School of Mathematical Sciences

Huizhou University

Research output: Contribution to journal › Article › peer-review

Abstract

Motivated by the remarkable results on the characterization of (global) Sobolev-Poincaré embedding domains by Buckley and Koskela (1995) and (1996), this paper provides a characterization of local Sobolev-Poincaré embedding domains.

Original language	English
Article number	23
Journal	Potential Analysis
Volume	64
Issue number	1
DOIs	https://doi.org/10.1007/s11118-025-10268-3
State	Published - Jan 2026

Keywords

Cigar domains
LLC
Local Sobolev-Poincaré inequalities
Uniform domains

Access to Document

10.1007/s11118-025-10268-3

Cite this

@article{5e70e5644fd748a3a5e3680c6a7f1ace,

title = "Local Sobolev-Poincar{\'e} Embedding Domains",

abstract = "Motivated by the remarkable results on the characterization of (global) Sobolev-Poincar{\'e} embedding domains by Buckley and Koskela (1995) and (1996), this paper provides a characterization of local Sobolev-Poincar{\'e} embedding domains.",

keywords = "Cigar domains, LLC, Local Sobolev-Poincar{\'e} inequalities, Uniform domains",

author = "Tian Liang and Zheng Zhu",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Nature B.V. 2025.",

year = "2026",

month = jan,

doi = "10.1007/s11118-025-10268-3",

language = "英语",

volume = "64",

journal = "Potential Analysis",

issn = "0926-2601",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Local Sobolev-Poincaré Embedding Domains

AU - Liang, Tian

AU - Zhu, Zheng

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature B.V. 2025.

PY - 2026/1

Y1 - 2026/1

N2 - Motivated by the remarkable results on the characterization of (global) Sobolev-Poincaré embedding domains by Buckley and Koskela (1995) and (1996), this paper provides a characterization of local Sobolev-Poincaré embedding domains.

AB - Motivated by the remarkable results on the characterization of (global) Sobolev-Poincaré embedding domains by Buckley and Koskela (1995) and (1996), this paper provides a characterization of local Sobolev-Poincaré embedding domains.

KW - Cigar domains

KW - LLC

KW - Local Sobolev-Poincaré inequalities

KW - Uniform domains

UR - https://www.scopus.com/pages/publications/105024679141

U2 - 10.1007/s11118-025-10268-3

DO - 10.1007/s11118-025-10268-3

M3 - 文章

AN - SCOPUS:105024679141

SN - 0926-2601

VL - 64

JO - Potential Analysis

JF - Potential Analysis

IS - 1

M1 - 23

ER -

Local Sobolev-Poincaré Embedding Domains

Abstract

Keywords

Access to Document

Other files and links

Cite this