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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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Martingale Inequalities in Variable Exponent Hardy spaces with $0<p^-\leq p^+<\infty$
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TL;DR: In this article, the authors investigated the properties of the variable Lebesgue spaces with quasi-norm on a probability space, and gave the atomic decompositions suited to the variable exponent martingale Hardy spaces.
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An Extension of a Variational Inequality in the Simader Theorem to a Variable Exponent Sobolev Space and Applications: The Dirichlet Case
TL;DR: In this article , the existence theory for the Poisson equation with Dirichlet boundary conditions in Lp(·)-framework, where Lp denotes a variable exponent Lebesgue space.
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On Well Posed Impulsive Boundary Value Problems for p(t)-Laplacian's
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TL;DR: In this paper, the existence of solutions, uniqueness and continuous dependence on parameters to impulsive problems with a p(t)-Laplacian and Dirichlet boundary value condition was investigated via variational methods and critical point theory.
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Nonlinear problem involving the fractional p(x)-Laplacian operator by Topological degree
TL;DR: In this article, a nonlinear problem involving the fractional p(x)-Laplacian operator is studied and the existence of nontrivial weak solutions for this problem is proved.
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An extension of a Theorem of V. \v{S}ver\'ak to variable exponent spaces
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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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