Extreme points and rotundity of Orlicz-Sobolev spaces

Extreme points and rotundity of Orlicz-Sobolev spaces

It is well known that Sobolev spaces have played essential roles in solving nonlinear partial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces. In this paper, we present sufficient and necessary conditions of extreme points of Orlicz-Sobolev spaces. A sufficient and...

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Main Authors: Shutao Chen, Changying Hu, Charles Xuejin Zhao
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202202252
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spelling doaj-dd5e0acedeec42598782fc74f46a92b12020-11-25T01:08:15ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0132529329910.1155/S0161171202202252Extreme points and rotundity of Orlicz-Sobolev spacesShutao Chen0Changying Hu1Charles Xuejin Zhao2Department of Mathematics, Harbin Normal University, Harbin 150080, ChinaDepartment of Mathematics, Harbin Normal University, Harbin 150080, ChinaDepartment of Mathematics, Box 20047, Savannah State University, Savannah, GA 31404, USAIt is well known that Sobolev spaces have played essential roles in solving nonlinear partial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces. In this paper, we present sufficient and necessary conditions of extreme points of Orlicz-Sobolev spaces. A sufficient and necessary condition of rotundity of Orlicz-Sobolev spaces is obtained.http://dx.doi.org/10.1155/S0161171202202252
collection DOAJ
language English
format Article
sources DOAJ
author Shutao Chen
Changying Hu
Charles Xuejin Zhao
spellingShingle Shutao Chen
Changying Hu
Charles Xuejin Zhao
Extreme points and rotundity of Orlicz-Sobolev spaces
International Journal of Mathematics and Mathematical Sciences
author_facet Shutao Chen
Changying Hu
Charles Xuejin Zhao
author_sort Shutao Chen
title Extreme points and rotundity of Orlicz-Sobolev spaces
title_short Extreme points and rotundity of Orlicz-Sobolev spaces
title_full Extreme points and rotundity of Orlicz-Sobolev spaces
title_fullStr Extreme points and rotundity of Orlicz-Sobolev spaces
title_full_unstemmed Extreme points and rotundity of Orlicz-Sobolev spaces
title_sort extreme points and rotundity of orlicz-sobolev spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2002-01-01
description It is well known that Sobolev spaces have played essential roles in solving nonlinear partial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces. In this paper, we present sufficient and necessary conditions of extreme points of Orlicz-Sobolev spaces. A sufficient and necessary condition of rotundity of Orlicz-Sobolev spaces is obtained.
url http://dx.doi.org/10.1155/S0161171202202252
work_keys_str_mv AT shutaochen extremepointsandrotundityoforliczsobolevspaces
AT changyinghu extremepointsandrotundityoforliczsobolevspaces
AT charlesxuejinzhao extremepointsandrotundityoforliczsobolevspaces
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