Results 11 to 20 of about 107 (76)
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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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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Structural aspects of truncated archimedean vector lattices: good sequences, simple elements [PDF]
, 2021 summary:The truncation operation facilitates the articulation and analysis of several aspects of the structure of archimedean vector lattices; we investigate two such aspects in this article.
Ball, Richard N.
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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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Note on the Regularity of Nonadditive Measures
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 We consider the regularity for nonadditive measures. We prove that the non‐additive measures which satisfy Egoroff′s theorem and have pseudometric generating property possess Radon property (strong regularity) on a complete or a locally compact, separable metric space.
Toshikazu Watanabe +3 more
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The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations
Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 We generalized the existence theorems and the continuous dependence of a solution on parameters for initial problems of fuzzy discontinuous differential equation by the strong fuzzy Henstock integral and its controlled convergence theorem.
Yabin Shao, Huanhuan Zhang, Mehmet Sezer
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Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 We provide sufficient conditions for the definition and the existence of strongly consistent indirect estimators when the binding function is a compact valued correspondence. We use conditions that concern the asymptotic behavior of the epigraphs of the criteria involved, a relevant notion of continuity for the binding correspondence as well as an ...
Stelios Arvanitis, Mike Tsionas
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A Minimax Theorem for L-0‐Valued Functions on Random Normed Modules
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 We generalize the well‐known minimax theorems to L¯0‐valued functions on random normed modules. We first give some basic properties of an L0‐valued lower semicontinuous function on a random normed module under the two kinds of topologies, namely, the (ε, λ)‐topology and the locally L0‐convex topology.
Shien Zhao, Yuan Zhao, Pei De Liu
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