Results 51 to 60 of about 4,824,817 (357)
Journal of Function Spaces, 2017 We define the new central Morrey space with variable exponent and investigate its relation to the Morrey-Herz spaces with variable exponent. As applications, we obtain the boundedness of the homogeneous fractional integral operator TΩ,σ and its ...
Hongbin Wang, Jiajia Wang, Zunwei Fu
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Journal of Function Spaces, 2021 In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces.
Leonardo Fabio Chacón-Cortés +1 more
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General fractional Sobolev space with variable exponent and applications to nonlocal problems [PDF]
Advances in Operator Theory, 2019 In this paper, we extend the fractional Sobolev spaces with variable exponents Ws,p(x,y)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
E. Azroul, A. Benkirane, M. Shimi
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Approximation by Zygmund means in variable exponent Lebesque spaces [PDF]
Mathematica Moravica, 2019 In the present work we investigate the approximation of the functions by the Zygmund means in variable exponent Lebesgue spaces. Here the estimate which is obtained depends on sequence of the best approximation in Lebesgue spaces with variable exponent ...
Jafarov Sadulla Z.
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Delayed wave equation with logarithmic variable-exponent nonlinearity
Electronic Research Archive, 2023 A delayed nonlinear wave equation with variable exponents of logarithmic type is discussed in this paper. In the presence of the logarithmic nonlinear source, we established a global existence result under sufficient conditions on the initial data only ...
Mohammad Kafini , Maher Noor
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On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing [PDF]
Nonlinear Analysis 168(2018) 176-197, 2016 Variable exponent spaces have found interesting applications in real world problems. Recently, there have been considerable interest in utilizing variational and evolution problems based on variable exponents for imaging applications. The main classes of partial differential equations (PDEs) related to the variable exponents involve the $p(\cdot ...
arxiv +1 more source
Advanced Engineering Materials, EarlyView., 2023 The study presents the mechanical and in situ sensing performance of digital light processing‐enabled 2D lattice nanocomposites under monotonic tensile and repeated cyclic loading, and provides guidelines for the design of architectures suitable for strain sensors and smart lightweight structures.
Omar Waqas Saadi +3 more
wiley +1 more source
Infinitely Many Periodic Solutions for Variable Exponent Systems
Journal of Inequalities and Applications, 2009 We mainly consider the system −Δp(x)u=f(v)+h(u) in ℝ, −Δq(x)v=g(u)+ω(v) in ℝ, where 1<p(x),q(x)∈C1(ℝ) are periodic functions, and −Δp(x)u=−(|u′|p(x)− ...
Xiaoli Guo, Mingxin Lu, Qihu Zhang
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IET Image Processing, 2021 This study presents a variational image restoration algorithm based on variable exponential fractional‐order total variation (TV), variable exponential integer‐order TV and tight frame sparse regularization.
Yingmei Wang, Zhendong Wang
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The Kolmogorov–Riesz theorem and some compactness criterions of bounded subsets in weighted variable exponent amalgam and Sobolev spaces [PDF]
Collectanea Mathematica, 2019 We study totally bounded subsets in weighted variable exponent amalgam and Sobolev spaces. Moreover, this paper includes several detailed generalized results of some compactness criterions in these spaces.
I. Aydın, C. Unal
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