On Critical Cases of Sobolev′s Inequalities

Research output: Contribution to journalArticle

102 Citations (Scopus)

Abstract

We present a new form of the Trudinger-type inequality, which shows an explicit dependence. Moreover, we give an alternative proof of the Brezis-Gallouet-Wainger inequality.

Original languageEnglish
Pages (from-to)259-269
Number of pages11
JournalJournal of Functional Analysis
Volume127
Issue number2
DOIs
Publication statusPublished - 1995 Feb 1
Externally publishedYes

Fingerprint

Critical Case
Alternatives
Form

ASJC Scopus subject areas

  • Analysis

Cite this

On Critical Cases of Sobolev′s Inequalities. / Ozawa, Tohru.

In: Journal of Functional Analysis, Vol. 127, No. 2, 01.02.1995, p. 259-269.

Research output: Contribution to journalArticle

@article{904c8749ff674b90bda4738e73204d35,
title = "On Critical Cases of Sobolev′s Inequalities",
abstract = "We present a new form of the Trudinger-type inequality, which shows an explicit dependence. Moreover, we give an alternative proof of the Brezis-Gallouet-Wainger inequality.",
author = "Tohru Ozawa",
year = "1995",
month = "2",
day = "1",
doi = "10.1006/jfan.1995.1012",
language = "English",
volume = "127",
pages = "259--269",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - On Critical Cases of Sobolev′s Inequalities

AU - Ozawa, Tohru

PY - 1995/2/1

Y1 - 1995/2/1

N2 - We present a new form of the Trudinger-type inequality, which shows an explicit dependence. Moreover, we give an alternative proof of the Brezis-Gallouet-Wainger inequality.

AB - We present a new form of the Trudinger-type inequality, which shows an explicit dependence. Moreover, we give an alternative proof of the Brezis-Gallouet-Wainger inequality.

UR - http://www.scopus.com/inward/record.url?scp=0000506513&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000506513&partnerID=8YFLogxK

U2 - 10.1006/jfan.1995.1012

DO - 10.1006/jfan.1995.1012

M3 - Article

VL - 127

SP - 259

EP - 269

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 2

ER -