Results 71 to 80 of about 14,081 (237)

Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of ...
Ajagjal Sana
doaj   +1 more source

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali   +3 more
wiley   +1 more source

The exact values of nonsquare constants for a class of Orlicz spaces [PDF]

open access: yesOpuscula Mathematica, 2005
We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero.
Jincai Wang
doaj  

A Note On The Defininiton of An Orlicz Space

open access: yesAfyon Kocatepe University Journal of Sciences and Engineering, 2015
The Orlicz spaces were introduced by Z.W. Birnbaum and W. Orlicz in 1931 as a natural generalization of the classical Lebesgue spaces. For this generalization the function ݔ ௣ entering in the definition of Lebesgue's space is replaced by a more general convex function Ф.
openaire   +3 more sources

The Existence of Central Approximate Identity for Beurling Segal Algebras and Related Homological Properties

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, some properties of weighted Segal algebras are investigated. The condition under which it guarantees the existence of a central approximate identity for weighted Segal algebras is given. Also, various homological and cohomological properties of weighted Segal algebras are obtained.
Batoul S. Mortazavi-Samarin   +3 more
wiley   +1 more source

Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity

open access: yesMathematische Nachrichten, Volume 297, Issue 11, Page 3982-4002, November 2024.
Abstract We study a superlinear elliptic boundary value problem involving the p$p$‐Laplacian operator, with changing sign weights. The problem has positive solutions bifurcating from the trivial solution set at the two principal eigenvalues of the corresponding linear weighted boundary value problem.
Mabel Cuesta, Rosa Pardo
wiley   +1 more source

Two properties of norms in Orlicz spaces

open access: yesLe Matematiche, 2001
A characterization of inclusion between L^p-spaces is well-known. Here we present an analogous characterization for Orlicz spaces. To this aim we use some definitions of Orlicz and Luxemburg norm that are a little bit general then usual. Also this allows
Andrea Caruso
doaj  

Minimizers of abstract generalized Orlicz‐bounded variation energy

open access: yesMathematical Methods in the Applied Sciences, Volume 47, Issue 15, Page 11795-11809, October 2024.
A way to measure the lower growth rate of φ:Ω×[0,∞)→[0,∞)$$ \varphi :\Omega \times \left[0,\infty \right)\to \left[0,\infty \right) $$ is to require t↦φ(x,t)t−r$$ t\mapsto \varphi \left(x,t\right){t}^{-r} $$ to be increasing in (0,∞)$$ \left(0,\infty \right) $$.
Michela Eleuteri   +2 more
wiley   +1 more source

Distortion risk measures: Prudence, coherence, and the expected shortfall

open access: yesMathematical Finance, Volume 34, Issue 4, Page 1291-1327, October 2024.
Abstract Distortion risk measures (DRM) are risk measures that are law invariant and comonotonic additive. The present paper is an extensive inquiry into this class of risk measures in light of new ideas such as qualitative robustness, prudence and no reward for concentration, and tail relevance.
Massimiliano Amarante   +1 more
wiley   +1 more source

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