Results 1 to 10 of about 33 (33)
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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Exceptional families of measures on Carnot groups
Analysis and Geometry in Metric Spaces, 2023 We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
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A trace problem for associate Morrey potentials
Advances in Nonlinear Analysis, 2018 As a solution to the restriction question for associate Morrey potentials (Question 1.1), this paper characterizes a Radon measure μ on ℝn{\mathbb{R}^{n}} such that the Riesz operator Iα{I_{\alpha}} maps the associate Morrey spaces H1p,κ⊂Hp,κ{H^{p,\kappa}
Xiao Jie
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Abstract and Applied Analysis, Volume 2003, Issue 13, Page 743-755, 2003., 2003 We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A‐Laplacian equation ΔAu + h = 0 on ℝN, where ∫h ≠ 0, if ℝN is A‐parabolic. For a large class of Orlicz spaces including Lebesgue spaces Lp (p > 1), we also prove that the same equation, with any bounded measurable function h with compact support, has
Noureddine Aïssaoui
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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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Strongly nonlinear potential theory on metric spaces
Abstract and Applied Analysis, Volume 7, Issue 7, Page 357-374, 2002., 2002 We define Orlicz‐Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results. We prove that each Orlicz‐Sobolev function has a quasi‐continuous representative. We give estimates for the capacity of balls when
Noureddine Aïssaoui
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A new perspective on the Riesz potential
Advances in Nonlinear Analysis, 2017 This paper offers a new perspective to look at the Riesz potential. On the one hand, it is shown that not only 𝔏q,qp-1(n-αp)∩𝔏p,κ-αp\mathfrak{L}^{q,qp^{-1}(n-\alpha p)}\cap\mathfrak{L}^{p,\kappa-\alpha p} contains IαLp,κ{I_{\alpha}L^{p,\kappa ...
Xiao Jie
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Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces
Advances in Nonlinear AnalysisWe derive various sharp upper bounds for the pp-capacity of a smooth compact set KK in the hyperbolic space Hn{{\mathbb{H}}}^{n} and the Euclidean space Rn{{\mathbb{R}}}^{n}.
Li Haizhong, Li Ruixuan, Xiong Changwei
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Implementation determinants of physical activity interventions in primary health care settings using the TICD framework: a systematic review. [PDF]
BMC Health Serv Res, 2023 Silva CS +6 more
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Antiferroptotic Activity of Phenothiazine Analogues: A Novel Therapeutic Strategy for Oxidative Stress Related Disease. [PDF]
ACS Med Chem Lett, 2020 Liu J +4 more
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