Results 11 to 20 of about 85 (70)
An alternative form of Egoroff's theorem [PDF]
Fundamenta Mathematicae, 1960 Taylor, S.
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The Existence of Nontrivial Solutions to a Class of Quasilinear Equations
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we study the following quasilinear equation: −div(ϕ(|∇u|)∇u) + ϕ(|u|)u = f(u) in ℝN, where ϕ ∈ C1(ℝ+, ℝ+) and Φt=∫0tsϕ∣s∣ds. In the Orlicz‐Sobolev space, by variational methods and a minimax theorem, we prove the equation has a nontrivial solution.
Xiaoyao Jia +2 more
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ON MEASURE SPACES WHERE EGOROFF'S THEOREM HOLDS [PDF]
Real Analysis Exchange, 1994 A measure space (X, S, µ) is called almost f inite if X is a union of a setof finite measure and finite many atoms of infinite measure. It is shown that Egoroff’sTheorem for sequences of measurable functions holds if and only if the underlyingmeasure ...
Zsilinszky, Laszlo +1 more
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Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, we show the existence of solutions for an indefinite fractional Schrödinger equation driven by the variable‐order fractional magnetic Laplace operator involving variable exponents and steep potential. By using the decomposition of the Nehari manifold and variational method, we obtain the existence results of nontrivial solutions to the ...
Jianwen Zhou +4 more
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Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, we consider the evolutionary Navier‐Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition, we use the Galerkin approximation method and a weak precompactness criterion to ensure the ...
Hicham Mahdioui +3 more
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Lebesgue's theorem and Egoroff's theorem for complex uncertain sequences
, 2023 In this paper, within framework uncertain theory, we investigate Lebesgue's theorem, Egoroff's theorem and Riesz's theorem for complex uncertain ...
Gurdal, Mehmet, Kişi, Ömer
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On the maximal run-length function in the Lüroth expansion [PDF]
, 2018 summary:We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub ...
Sun, Yu, Xu, Jian
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Best N‐Simultaneous Approximation in Lp(μ, X)
Journal of Function Spaces, Volume 2017, Issue 1, 2017., 2017 Let X be a Banach space. Let 1 ≤ p < ∞ and denote by Lp(μ, X) the Banach space of all X‐valued Bochner p‐integrable functions on a certain positive complete σ‐finite measure space (Ω, Σ, μ), endowed with the usual p‐norm. In this paper, the theory of lifting is used to prove that, for any weakly compact subset W of X, the set Lp(μ, W) is N ...
Tijani Pakhrou, Yoshihiro Sawano
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Operators on Spaces of Bounded Vector‐Valued Continuous Functions with Strict Topologies
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 Let X be a completely regular Hausdorff space, and let (E, ‖·‖E) and (F, ‖·‖F) be Banach spaces. Let Cb(X, E) be the space of all E‐valued bounded, continuous functions defined on X, equipped with the strict topologies βz, where z = σ, ∞, p, τ, t. General integral representation theorems of (βz, ‖·‖F)‐continuous linear operators T : Cb(X, E) → F with ...
Marian Nowak, Józef Banaś
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