Results 51 to 60 of about 706,285 (207)
Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
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ON \(\lambda\)-WEAK CONVERGENCE OF SEQUENCES DEFINED BY AN ORLICZ FUNCTION
Ural Mathematical JournalIn this article, we introduce and rigorously analyze the concept of difference \(\lambda\)-weak convergence for sequences defined by an Orlicz function.
Ömer Kişi, Mehmet Gürdal
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Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm
Abstract and Applied Analysis, 2014 The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed.
Lili Chen, Yunan Cui, Yanfeng Zhao
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The Steklov spectrum of spherical cylinders
Mathematika, Volume 72, Issue 2, April 2026.Abstract The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of their trace on the boundary. These eigenvalues form the Steklov spectrum of the domain.
Spencer Bullent
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Monotonicities of Quasi-Normed Orlicz Spaces
AxiomsIn this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
Journal of Inequalities and Applications, 2016 In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz +2 more
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Potential trace inequalities via a Calderón‐type theorem
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
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On approximation by rational functions in Musielak–Orlicz spaces
Journal of Approximation TheoryThe authors extend the results from [\textit{W. M. Kozlowski}, J. Approx. Theory 264, Article ID 105535, 14 p. (2021; Zbl 1462.41015); Appl. Set-Valued Anal. Optim. 4, No. 3, 337--348 (2022; \url{doi:10.23952/asvao.4.2022.3.07})] to the problem of best approximation by rational functions in a larger class of Musielak-Orlicz spaces of real-valued ...
Kozlowski WM, Vinti G
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Abstract and Applied Analysis, 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.
Noureddine Aïssaoui
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Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED +3 more
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