Extreme points and rotundity of Orlicz‐Sobolev spaces

Source 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.