Results 51 to 60 of about 315,893 (200)
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13324-13360, August 2026.ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley +1 more source
Self‐improving property for certain degenerate functionals with generalized Orlicz growth
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher ...
Vertti Hietanen, Mikyoung Lee
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A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure
Mathematische Nachrichten, Volume 299, Issue 7, Page 1540-1548, July 2026.ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
wiley +1 more source
H‐Points and H‐Property of the Orlicz Spaces Endowed With the s‐Norms
Mathematische Nachrichten, Volume 299, Issue 5, Page 1062-1084, May 2026.ABSTRACT In this paper, we investigate the set of H‐points on the unit sphere of the Orlicz spaces over non‐atomic and purely atomic measure spaces. Building upon these arguments, we establish a criteria for the H‐property in Orlicz spaces. In addition, our results yield several consequences related to the geometric properties of the Orlicz spaces ...
Serap Öztop, Badik Hüseyin Uysal
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Some properties of pre-quasi norm on Orlicz sequence space
Journal of Inequalities and Applications, 2020 In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj +1 more source
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
wiley +1 more source
K-uniform convexity in Orlicz-Lorentz function space equipped with the Orlicz norm
Indian Journal of Pure and Applied Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Di Wang, Yunan Cui
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Riesz angles of Orlicz sequence spaces [PDF]
, 2002 summary:We introduce some practical calculation of the Riesz angles in Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm. For an $N$-function $\Phi(u)$ whose index function is monotonous, the exact value $a(l^{(\Phi)})$ of the Orlicz ...
Yan, Ya Qiang
core +1 more source
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
wiley +1 more source
Geometric properties of F-normed Orlicz spaces [PDF]
Aequationes mathematicae, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Yunan +3 more
openaire +2 more sources