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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
The Multiplicity of Nontrivial Solutions for a New p x -Kirchhoff-Type Elliptic Problem
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Characterizations of variable fractional Haj{\l}asz-Sobolev spaces
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- 22 Apr 2022
TL;DR: In this article , the variable fractional Sobolev spaces W sp ( · ) ( X ) on X via Hajłasz gradient were introduced, and several characterizations of this space were established.
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Multiple solutions for a class of quasilinear problems involving variable exponents
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References
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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.
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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.
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