Open Access
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
•Posted Content
Ground state solutions for a semilinear elliptic problem with critical-subcritical growth
TL;DR: In this article, the positive ground state solution for the semilinear elliptic problem was studied, and the authors showed that it is possible to obtain a positive ground-state solution for a continuous function assuming critical and subcritical values.
5
Algebras of Singular Integral Operators with Piecewise Continuous Coefficients on Weighted Nakano Spaces
Alexei Yu. Karlovich
- 01 Jan 2006
TL;DR: In this article, the index of an arbitrary operator in the Banach algebra of singular integral operators with piecewise continuous coefficients on Nakano spaces (generalized Lebesgue spaces with variable exponent) with Khvedelidze weights over either Lyapunov curves or Radon curves without cusps was given.
5
•Dissertation
Stochastic quasilinear parabolic equations with non standard growth : weak and strong solutions
Zakaria Idriss Ali
- 01 Jan 2016
TL;DR: In this paper, the existence of weak probabilistic solutions for a stochastic quasilinear parabolic equation of generalized polytropic filtration was investigated in the functional setting of generalized Lebesgue and Sobolev spaces.
5
A multiplicity of solutions for a nonlinear degenerate problem involving a p(x)-Laplace-type operator
Olfa Allegue,Mounir Bezzarga +1 more
TL;DR: In this article, it was shown that if λ is large enough then there exist at least two non-negative non-trivial weak solutions for the boundary value problem.
5
Continuity of weakly monotone Sobolev functions of variable exponent
Toshihide Futamura,Yoshihiro Mizuta +1 more
- 01 Jan 2006
TL;DR: In this article, the continuity properties of weakly monotone Sobolev functions of variable exponent were studied for weakly-monotone functions with variable exponent and variable exponent.
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.
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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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