Results 61 to 70 of about 3,840,217 (214)

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

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

Smooth Points of Orlicz Function Spaces Equipped with S-norm

Journal of Harbin University of Science and Technology
Smooth points are important concepts in Banach space geometry theory, which have important applications in estimation theory, probability theory and other fields.
XU Hao, WANG Junming
doaj   +1 more source

Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates

Analysis and Geometry in Metric Spaces, 2013
Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded H∞ -functional calculus in L2(X) satisfying the reinforced (pL; qL) off-diagonal estimates on balls, where pL ∊ [1; 2) and qL ∊ (2;∞]. Let φ : X × [0;∞) →
Bui The Anh, Cao Jun, Ky Luong Dang, Yang Dachun, Yang Sibei   +4 more
doaj   +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
wiley   +1 more source

Multipliers between Orlicz sequence space [PDF]

, 2014
Let $ M,N $ be Orlicz functions and let $ D(l_M,l_N) $ be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces $ l_M $ and $ l_N $.
Naik, S
core  

The fixed point property in Musielak-Orlicz sequence spaces [PDF]

, 2001
summary:In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an {\bf H}-point.
Cui, Yunan, Thompson, H. Bevan
core   +1 more source

On Orlicz Difference Sequence Spaces

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2010
: The main aim of this article is to generalize the famous Orlicz sequence space by using difference operators and a sequence of non-zero scalars and investigate some topological structure relevant to this generalized space.
Hemen Dutta
doaj  

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

On some equivalent geometric properties in the Besicovitch-Orlicz space of almost periodic functions with Luxemburg norm [PDF]

, 2010
summary:The paper is concerned with the characterization and comparison of some local geometric properties of the Besicovitch-Orlicz space of almost periodic functions.
Morsli, Mohamed, Smaali, Mannal, Bedouhene, Fazia   +2 more
core   +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
wiley   +1 more source