Results 31 to 40 of about 5,210,310 (318)
Uhlenbeck’s Decomposition in Sobolev and Morrey–Sobolev Spaces [PDF]
Results in Mathematics, 2018 We present a self-contained proof of Uhlenbeck's decomposition theorem for $Ω\in L^p(\mathbb{B}^n,so(m)\otimesΛ^1\mathbb{R}^n)$ for $p\in (1,n)$ with Sobolev type estimates in the case $p \in[n/2,n)$ and Morrey-Sobolev type estimates in the case $p\in (1,n/2)$.
Zatorska-Goldstein, Anna +1 more
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Compact embedding theorems and a Lions' type Lemma for fractional Orlicz-Sobolev spaces. [PDF]
, 2020 In this paper we are concerned with some abstract results regarding to fractional Orlicz-Sobolev spaces. Precisely, we ensure the compactness embedding for the weighted fractional Orlicz-Sobolev space into the Orlicz spaces, provided the weight is ...
Edcarlos D. Silva +3 more
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On the Space of Locally Sobolev-Slobodeckij Functions
Journal of Function Spaces, 2022 The study of certain differential operators between Sobolev spaces of sections of vector bundles on compact manifolds equipped with rough metric is closely related to the study of locally Sobolev functions on domains in the Euclidean space. In this paper,
A. Behzadan, M. Holst
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Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels
Journal of Inequalities and Applications, 2008 The existence and boundedness on Sobolev spaces and Hardy-Sobolev spaces for the hypersingular Marcinkiewicz integrals with variable kernels are derived.
Songyan Zhang, Xiao Yu, Xiangxing Tao
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Stability threshold of two-dimensional Couette flow in Sobolev spaces [PDF]
Annales de l'Institut Henri Poincare. Analyse non linéar, 2019 We study the stability threshold of the 2D Couette flow in Sobolev spaces at high Reynolds number $Re$. We prove that if the initial vorticity $\Omega_{in}$ satisfies $\|\Omega_{in}-(-1)\|_{H^{\sigma}}\leq \epsilon Re^{-1/3}$, then the solution of the 2D
N. Masmoudi, Weiren Zhao
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Dirac–Sobolev Spaces and Sobolev Spaces
Funkcialaj Ekvacioj, 2010 The aim of this work is to study the first order Dirac-Sobolev spaces in $L^p$ norm on an open subset of ${\mathbb R}^3$ to clarify its relationship with the corresponding Sobolev spaces.
Ichinose, Takashi, Saito, Yoshimi
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Fractional order Orlicz-Sobolev spaces [PDF]
Journal of Functional Analysis, 2017 In this paper we define the fractional order Orlicz-Sobolev spaces, and prove its convergence to the classical Orlicz-Sobolev spaces when the fractional parameter $s\uparrow 1$ in the spirit of the celebrated result of Bourgain-Brezis-Mironescu.
Julián Fernández Bonder, A. Salort
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The sharp Sobolev type inequalities in the Lorentz–Sobolev spaces in the hyperbolic spaces [PDF]
Journal of Mathematical Analysis and Applications, 2020 Let $W^1L^{p,q}(\mathbb H^n)$, $1\leq q,p < \infty$ denote the Lorentz-Sobolev spaces of order one in the hyperbolic spaces $\mathbb H^n$. Our aim in this paper is three-fold. First of all, we establish a sharp Poincaré inequality in $W^1L^{p,q}(\mathbb H^n)$ with $1\leq q \leq p$ which generalizes the result in \cite{NgoNguyenAMV} to the setting of
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Uniform rotundity in every direction of Orlicz-Sobolev spaces
Journal of Inequalities and Applications, 2016 In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a ...
Fayun Cao, Rui Mao, Bing Wang
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Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces
Bulletin of Mathematical Sciences, 2021 Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. In particular, analytic properties of such polynomials have been extensively studied, mainly focused on their asymptotic behavior and the location of their zeros. On
Francisco Marcellán +1 more
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