Results 21 to 30 of about 5,148,140 (146)
Generalized Difference λ-Sequence Spaces Defined by Ideal Convergence and the Musielak-Orlicz Function [PDF]
Abstract and Applied Analysis, 2013 We introduced the ideal convergence of generalized difference sequence spaces combining an infinite matrix of complex numbers with respect to λ-sequences and the Musielak-Orlicz function over n-normed spaces.
Awad A. Bakery
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Sobolev’s Inequality for Musielak–Orlicz–Sobolev Functions
Results in Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshihiro Mizuta +2 more
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Parabolic equations in Musielak - Orlicz spaces with discontinuous in time N-function [PDF]
Journal of Differential Equations, 2021 We consider a parabolic PDE with Dirichlet boundary condition and monotone operator $A$ with non-standard growth controlled by an $N$-function depending on time and spatial variable. We do not assume continuity in time for the $N$-function. Using an additional regularization effect coming from the equation, we establish the existence of weak solutions ...
Miroslav Bulíček +2 more
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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
Mathematische Nachrichten, 2013 In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Vigelis, Rui F., Cavalcante, Charles C.
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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, a new pseudoparabolic equation with logarithmic nonlinearity of variable exponents is investigated. By using the energy functional and the classical potential well, we obtain the global existence and blow‐up results of weak solutions with variable exponents.
Rongting Pan +3 more
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Existence of Solutions for Inclusion Problems in Musielak‐Orlicz‐Sobolev Space Setting
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this paper, we mainly prove the existence of (weak) solutions of an inclusion problem with the Dirichlet boundary condition of the following form: L ∈ A(x, u, Du) + F(x, u, Du), in Ω, and u = 0, on ∂Ω, in Musielak‐Orlicz‐Sobolev spaces W01LΦΩ by using the surjective theorem, where Ω ⊂ ℝN is a bounded Lipschitz domain, L belongs to the dual space ...
Ge Dong, Xiaochun Fang, Serena Matucci
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Convergence of Vilenkin–Fourier series in variable Hardy spaces
Mathematische Nachrichten, Volume 295, Issue 9, Page 1812-1839, September 2022., 2022 Abstract Let p(·):[0,1)→(0,∞)$p(\cdot ): [0,1)\rightarrow (0,\infty )$ be a variable exponent function satisfying the log‐Hölder condition and 0
Ferenc Weisz
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Parametric superlinear double phase problems with singular term and critical growth on the boundary
Mathematical Methods in the Applied Sciences, Volume 45, Issue 4, Page 2276-2298, 15 March 2022., 2022 In this paper, we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a nonlinear Neumann boundary condition of critical growth. Based on a new equivalent norm for Musielak–Orlicz Sobolev spaces and the Nehari manifold along with the fibering ...
Ángel Crespo‐Blanco +2 more
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The Kellogg property under generalized growth conditions
Mathematische Nachrichten, Volume 295, Issue 2, Page 345-362, February 2022., 2022 Abstract We study minimizers of the Dirichlet φ‐energy integral with generalized Orlicz growth. We prove the Kellogg property, the set of irregular points has zero capacity, and give characterizations of semiregular boundary points. The results are new ever for the special cases double phase and Orlicz growth.
Petteri Harjulehto, Jonne Juusti
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The Chebyshev Set Problem in Riesz Space
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we mainly study the best approximation theory in Riesz space, which is not constructed by the norm, but only rely on the order structure. Based on the order structure, we propose the concept of the order best approximation in Riesz space and discuss some problems related to the order best approximation, including some sufficient and ...
Shengwei Wu +5 more
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