Results 31 to 40 of about 2,194,826 (290)
Capacitary characterization of variable exponent Sobolev trace spaces
Moroccan Journal of Pure and Applied Analysis, 2022 Let Ω ⊂ ℝn be an open set. We give a new characterization of zero trace functions f∈𝒞(Ω¯)∩W01,p(.)(Ω)f \in \mathcal{C}\left( {\bar \Omega } \right) \cap W_0^{1,p\left( . \right)}\left( \Omega \right).
Berghout Mohamed
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Weak compactness in variable exponent spaces
, 2021 CRUE-CSIC (Acuerdos Transformativos 2021)This paper shows necessary and sufficient conditions on subsets of variable exponent spaces Lp(·)(Ω) in order to be weakly compact. Useful criteria are given extending Andô results for Orlicz spaces.
Sanchiz, Mauro +2 more
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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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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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Lorentz spaces with variable exponents [PDF]
Mathematische Nachrichten, 2013 We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings and the identity . We also show that these spaces arise through real interpolation between and . Furthermore, we answer in a negative way the question posed in whether the Marcinkiewicz interpolation theorem holds in the ...
Kempka, Henning, Vybíral, Jan
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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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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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, 1965 Published usually four times per year in the interest of the students of the University of Dayton. Contents include short stories, articles, essays, editorials, poems, plays, histories, and other creative works.https://ecommons.udayton.edu/exponent/1475 ...
University of Dayton Exponent
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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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, 1957 Published usually four times per year in the interest of the students of the University of Dayton. Contents include short stories, articles, essays, editorials, poems, plays, histories, and other creative works.https://ecommons.udayton.edu/exponent/1446 ...
University of Dayton Exponent
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