Results 31 to 40 of about 295,908 (279)
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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Variable exponent Sobolev spaces associated with Jacobi expansions [PDF]
, 2016 In this paper we define variable exponent Sobolev spaces associated with Jacobi expansions. We prove that our generalized Sobolev spaces can be characterized as variable exponent potential spaces and as variable exponent Triebel-Lizorkin type spaces ...
Almeida, V. +4 more
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Minimization of quotients with variable exponents [PDF]
Journal of Differential Equations, 2018 Let $Ω$ be a bounded domain of $\mathbb{R}^{N}$, $p\in C^{1}(\overlineΩ),$ $q\in C(\overlineΩ)$ and $l,j\in\mathbb{N}.$ We describe the asymptotic behavior of the minimizers of the Rayleigh quotient $\frac{\Vert\nabla u\Vert_{lp(x)}}{\Vert u\Vert_{jq(x)}}$, first when $j\rightarrow\infty$ and after when $l\rightarrow\infty.$
C.O. Alves +2 more
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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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Triebel--Lizorkin type spaces with variable exponents [PDF]
Banach Journal of Mathematical Analysis, 2015 In this article, the authors first introduce the Triebel-Lizorkin-type space $F_{p(\cdot),q(\cdot)}^{s(\cdot),ϕ}(\mathbb R^n)$ with variable exponents, and establish its $φ$-transform characterization in the sense of Frazier and Jawerth, which further implies that this new scale of function spaces is well defined.
Yang, Dachun, Zhuo, Ciqiang, Yuan, Wen
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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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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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Stability of eigenvalues for variable exponent problems
, 2015 In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.Comment: 10 ...
Colasuonno, Francesca, Squassina, Marco
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Local regularity for nonlocal equations with variable exponents
Mathematische Nachrichten, 2023 AbstractIn this paper, we study local regularity properties of minimizers of nonlocal variational functionals with variable exponents and weak solutions to the corresponding Euler–Lagrange equations. We show that weak solutions are locally bounded when the variable exponent p is only assumed to be continuous and bounded.
Jamil Chaker, Minhyun Kim
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Weighted Variable Exponent Sobolev spaces on metric measure spaces
Moroccan Journal of Pure and Applied Analysis, 2018 In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
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