Results 1 to 10 of about 8,833 (226)

Multipliers in weighted Sobolev spaces on the axis [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
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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, Saitō, Yoshimi
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Inclusion of Hajłasz – Sobolev class Mpα(X) into  the space of continuous functions in the critical case

Журнал Белорусского государственного университета: Математика, информатика, 2020
Let (X, d, µ) be a doubling metric measure space with doubling dimension γ, i. e. for any balls B(x, R) and B(x, r), r < R, following inequality holds µ(B(x, R)) ≤ aµ (R/r)γµ(B(x, r)) for some positive constants γ and aµ.
Sergey A. Bondarev
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On a New Parabolic Sobolev Embedding Map

Moroccan Journal of Pure and Applied Analysis, 2023
The purpose of the present article is to provide a new parabolic Sobolev embedding map between a parabolic weighted Sobolev space and the space of square-integrable functions on a cylinder. Furthermore, the embedding constant is furnished explicitly.
El Aidi Mohammed
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Existence of Sobolev regular solutions for the incompressible flow of liquid crystals in three dimensions

AIMS Mathematics, 2022
This paper considers a simplified three dimensional Ericksen-Leslie System for nematic liquid crystal flows in the unbounded domain $ \Omega: = \mathbb R^+\times \mathbb R^2 $ or the smooth bounded domain $ \Omega $.
Junling Sun, Xuefeng Han
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Generalized Newton-Leibniz formula and the embedding of the Sobolev functions with dominating mixed smoothness into Hölder spaces

AIMS Mathematics, 2023
It is well-known that the embedding of the Sobolev space of weakly differentiable functions into Hölder spaces holds if the integrability exponent is higher than the space dimension.
Ugur G. Abdulla
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Kaitan Antara Ruang Sobolev dan Ruang Lebesgue

Jurnal Fourier, 2017
Measureable function space and its norm with integral form has been known, one of which is Lebegsue Space and Sobolev Space. In applied Mathematics like in finding solution of partial differential equations, that two spaces is soo usefulness.
Pipit Pratiwi Rahayu
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W-Sobolev spaces

Journal of Mathematical Analysis and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simas, Alexandre B., Valentim, Fábio J.
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Sobolev capacity on the space W1, p(⋅)(ℝn)

Journal of Function Spaces and Applications, 2003
We define Sobolev capacity on the generalized Sobolev space W1, p(⋅)(ℝn). It is a Choquet capacity provided that the variable exponent p:ℝn→[1,∞) is bounded away from 1 and ∞.
Petteri Harjulehto, Peter Hästö, Mika Koskenoja, Susanna Varonen   +3 more
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Concerning the pathological set in the context of probabilistic well-posedness

Comptes Rendus. Mathématique, 2021
We prove a complementary result to the probabilistic well-posedness for the nonlinear wave equation. More precisely, we show that there is a dense set $S$ of the Sobolev space of super-critical regularity such that (in sharp contrast with the ...
Sun, Chenmin, Tzvetkov, Nikolay
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