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Extreme points and rotundity of Orlicz-Sobolev spaces

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  • Shutao Chen
  • Changying Hu
  • Charles Xuejin Zhao

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.

Suggested Citation

  • Shutao Chen & Changying Hu & Charles Xuejin Zhao, 2002. "Extreme points and rotundity of Orlicz-Sobolev spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 32, pages 1-7, January.
    • Handle: RePEc:hin:jijmms:491730
    DOI: 10.1155/S0161171202202252
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