Extreme points and rotundity of Orlicz-Sobolev spaces
2002 ◽
Vol 32
(5)
◽
pp. 293-299
Keyword(s):
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.
2009 ◽
Vol 50
(1)
◽
pp. 013502
◽
1997 ◽
Vol 125
(5)
◽
pp. 1483-1485
◽