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On the Spaces L and W
Xianling Fan,Dun Zhao +1 more
- 01 Jan 2001
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About: The article was published on 01 Jan 2001. and is currently open access.
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Citations
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References
•Book
Orlicz Spaces and Modular Spaces
Julian Musielak
- 01 Nov 1983
TL;DR: In this paper, a family of modulars depending on a parameter is described, and some applications of modular spaces are discussed, including orlicz spaces and countably modulared spaces.
2.1K
Averaging of functionals of the calculus of variations and elasticity theory
TL;DR: In this paper, the authors developed a duality method in the theory of averaging of nonlinear variational problems with stochastic Lagrangians and derived duality formulas that take account of the regularity problem.
1.3K