Results 11 to 20 of about 8,194 (224)
Extreme points and rotundity of Orlicz-Sobolev spaces
International Journal of Mathematics and Mathematical Sciences, 2002 It is well known that Sobolev spaces have played essential roles in solving nonlinear partial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces.
Shutao Chen +2 more
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Weighted Sobolev spaces: Markov-type inequalities and duality
Bulletin of Mathematical Sciences, 2017 Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type ...
Francisco Marcellán +2 more
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Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Open Mathematics, 2023 Let m∈Nm\in {\mathbb{N}} and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces Wm,φ(Rn){W}^{m,\varphi }\left({{\mathbb{R}}}^{n}).
Wu Ruimin, Wang Songbai
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On the Lebesgue and Sobolev spaces on a time-scale [PDF]
Opuscula Mathematica, 2019 We consider the generalized Lebesgue and Sobolev spaces on a bounded time-scale. We study the standard properties of these spaces and compare them to the classical known results for the Lebesgue and Sobolev spaces on a bounded interval.
Ewa Skrzypek +1 more
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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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Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
Mathematics, 2021 Let G be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on G. By assuming that the graph G satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev ...
Suying Liu, Feng Liu
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Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces
Journal of Function Spaces, 2017 Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.
Hong Rae Cho, Hyunil Choi, Han-Wool Lee
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Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
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Sobolev-Slobodeckij Spaces on Compact Manifolds, Revisited
Mathematics, 2022 In this manuscript, we present a coherent rigorous overview of the main properties of Sobolev-Slobodeckij spaces of sections of vector bundles on compact manifolds; results of this type are scattered through the literature and can be difficult to find. A
Ali Behzadan, Michael Holst
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Unlocking fruit dimensions: Quantification of functional traits driving plant–frugivore interactions
Applications in Plant Sciences, EarlyView.Abstract Fleshy fruits attract animals to ingest fruit, swallow the seeds, and release them in the landscape, thus facilitating seed dispersal and plant regeneration. Attraction of animal dispersers is achieved via attractants such as color or scent, and rewards like sugars, lipids, and micronutrients.
Linh M. N. Nguyen +4 more
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