Results 1 to 10 of about 718,602 (151)
Isoperimetric and Stable Sets for Log-ConcavePerturbations of Gaussian Measures
Analysis and Geometry in Metric Spaces, 2014 Let be an open half-space or slab in ℝn+1 endowed with a perturbation of the Gaussian measureof the form f (p) := exp(ω(p) − c|p|2), where c > 0 and ω is a smooth concave function depending only onthe signed distance from the linear hyperplane parallel ...
Rosales César
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Decomposition, Mapping, and Sum Theorems of ω-Paracompact Topological Spaces
Axioms, 2021 As a weaker form of ω-paracompactness, the notion of σ-ω-paracompactness is introduced. Furthermore, as a weaker form of σ-ω-paracompactness, the notion of feebly ω-paracompactness is introduced.
Samer Al Ghour
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On ω*-open sets and decomposition of continuity
Topological Algebra and its Applications, 2022 In this paper our main interest is to introduce a new topology on an ideal topological space.We have studied some properties of this newly defined topology.
Roy Bishwambhar, Sen Ritu
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Regularizing effect in singular semilinear problems
Mathematical Modelling and Analysis, 2023 We analyze how different relations in the lower order terms lead to the same regularizing effect on singular problems whose model is in Ω, u = 0 on ∂Ω, where Ω is a bounded open set of is a nonnegative function in L1(Ω) and g(x,s) is a Carathéodory ...
José Carmona +3 more
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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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Between Soft θ-Openness and Soft ω0-Openness
Axioms, 2023 In this paper, we define and investigate soft ωθ-open sets as a novel type of soft set. We characterize them and demonstrate that they form a soft topology that lies strictly between the soft topologies of soft θ-open sets and soft ω0-open sets. Moreover,
Samer Al Ghour
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On Pólya's inequality for torsional rigidity and first Dirichlet eigenvalue [PDF]
, 2016 Let Ω be an open set in Euclidean space with finite Lebesgue measure |Ω|. We obtain some properties of the set function F:Ω→R+ defined byF(Ω)=T(Ω)λ1(Ω)/|Ω|, where T(Ω) and λ1(Ω) are the torsional rigidity and the first eigenvalue of the Dirichlet ...
Ferone, Vincenzo +3 more
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Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets [PDF]
, 2009 For a fixed bounded open set Ω ⊂ RN , a sequence of open sets Ωn ⊂ Ω and a sequence of sets Γn ⊂ ∂Ω ∩ ∂Ωn, we study the asymptotic behavior of the solution of a nonlinear elliptic system posed on Ωn, satisfying Neumann boundary conditions on Γn and ...
Calvo Jurado, Carmen +2 more
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Between Open Sets and Semi-Open Sets
Universitas Scientiarum, 2018 We introduce and investigate ωs-open sets as a new class of sets which lies strictly between open sets and semi-open sets. Then we use ωs-open sets to introduce ωs -continuous functions as a new class of functions between continuous functions and semi ...
Samer Al Ghour, Kafa Mansur
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Baire-Type Properties in Metrizable c0(Ω, X)
Axioms, 2021 Ferrando and Lüdkovsky proved that for a non-empty set Ω and a normed space X, the normed space c0(Ω,X) is barrelled, ultrabornological, or unordered Baire-like if and only if X is, respectively, barrelled, ultrabornological, or unordered Baire-like ...
Salvador López-Alfonso +2 more
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