Results 41 to 50 of about 4,008,571 (171)
An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
Advances in Nonlinear Analysis, 2020 It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate.
Martínez Ángel D., Spector Daniel
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A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Comptes Rendus. Mathématique, 2020 We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, is Hilbert.
Di Marino, Simone +2 more
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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Capacity and perimeter from logarithmic fractional Sobolev spaces on Carnot groups
Advances in Nonlinear AnalysisIn this paper, we introduce the logarithmic fractional Sobolev space on Carnot groups and investigate the various functional-geometric aspects of the corresponding functional capacity.
Zhao Nan, Liu Yu
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Quasi-inner product spaces of quasi-Sobolev spaces and their completeness
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 [1]. In this paper , we deal with notion of quasi-inner product space by using concept of quasi-normed space which is ...
Jawad Kadhim Khalaf Al-Delfi
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A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
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, 2023 reservedAnalysis of the intrinsic properties of the Sobolev maps from the n-dimensional space to the k-dimensional ...
MASSERINI, SIMONE
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ON HK-SOBOLEV SPACE OVER HYPERGROUP GELFAND PAIR
Проблемы анализаIn this article, we introduce the HK-Sobolev space HKζ^(α,♮)(G) (G) over a Gelfand pair within the framework of a second countable hypergroup, employing the Fourier transform on the hypergroup. We discuss Kuelbs-Steadman space KS^p in Hypergroup and
Parthapratim Saha +2 more
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Variable Exponent Spaces of Differential Forms on Riemannian Manifold
Journal of Function Spaces and Applications, 2012 We introduce the Lebesgue space and the exterior Sobolev space for differential forms on Riemannian manifold 𝑀 which are the Lebesgue space and the Sobolev space of functions on 𝑀, respectively, when the degree of differential forms to be zero.
Yongqiang Fu, Lifeng Guo
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Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm
Abstract and Applied Analysis, 2021 In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the Lr-based Sobolev ...
Mai Fujita
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