Extreme points and rotundity of Orlicz-Sobolev spaces

Shutao Chen, Changying Hu and Charles Xuejin Zhao

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 32, 1-7

Abstract:

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:491730

DOI: 10.1155/S0161171202202252

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