Results 51 to 60 of about 5,632,634 (320)

New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

Journal of Function Spaces and Applications, 2012
The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced.
Baohua Dong, Jingshi Xu
doaj   +1 more source

Martingale Hardy spaces with variable exponents

, 2016
In this paper, we introduce Hardy spaces with variable exponents defined on a probability space and develop the martingale theory of variable Hardy spaces.
Chen, Wei, Hao, Zhiwei, Jiao, Yong, Zhou, Dejian   +3 more
core   +1 more source

Nonexistence of global solutions of a delayed wave equation with variable-exponents

Miskolc Mathematical Notes, 2021
. This work deals with a Petrovsky equation with delay term and variable exponents. Firstly, we establish the local existence result by the Faedo-Galerkin method. Later, we prove the blow-up of solutions in a finite time.
E. Pişkin, Hazal Yüksekkaya
semanticscholar   +1 more source

Function Spaces with a Random Variable Exponent

Abstract and Applied Analysis, 2011
The spaces with a random variable exponent Lp(ω)(D × Ω) and Wk,p(ω)(D × Ω) are introduced. After discussing the properties of the spaces Lp(ω)(D × Ω) and Wk,p(ω)(D × Ω), we give an application of these spaces to the stochastic partial differential equations with random variable growth.
Tian, Boping, Fu, Yongqiang, Xu, Bochi
openaire   +3 more sources

The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents

Open Mathematics, 2020
In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions.
Guo Qingdong, Wang Wenhua
doaj   +1 more source

Anisotropic Hardy-Lorentz spaces with variable exponents

, 2017
In this paper we introduce Hardy-Lorentz spaces with variable exponents associated to dilation in ${\Bbb R}^n$. We establish maximal characterizations and atomic decompositions for our variable exponent anisotropic Hardy-Lorentz ...
Almeida, V., Betancor, J. J., Rodríguez, L.   +2 more
core   +1 more source

Two solutions for Dirichlet double phase problems with variable exponents

Advanced Nonlinear Studies
This paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
E. Amoroso, G. Bonanno, G. D’Aguì, Patrick Winkert   +3 more
semanticscholar   +1 more source

Small perturbations of critical nonlocal equations with variable exponents

Demonstratio Mathematica, 2023
In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }^{q\left(x)-2}u&
Tao Lulu, He Rui, Liang Sihua
doaj   +1 more source

Existence and blow up for viscoelastic hyperbolic equations with variable exponents

Communications in Analysis and Mechanics
In this article, we consider a nonlinear viscoelastic hyperbolic problem with variable exponents. By using the Faedo$ - $Galerkin method and the contraction mapping principle, we obtain the existence of weak solutions under suitable assumptions on the ...
Ying Chu, Bo Wen, Libo Cheng
semanticscholar   +1 more source

Continuously variable spreading exponents in the absorbing Nagel-Schreckenberg model

, 2018
I study the critical behavior of a traffic model with an absorbing state. The model is a variant of the Nagel-Schreckenberg (NS) model, in which drivers do not decelerate if their speed is smaller than their headway, the number of empty sites between ...
Dickman, Ronald
core   +1 more source