Results 81 to 90 of about 6,795 (190)

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

Mathematische 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

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

Opuscula 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  

Minimizers of abstract generalized Orlicz‐bounded variation energy

Mathematical 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, Petteri Harjulehto, Peter Hästö   +2 more
wiley   +1 more source

Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

Abstract and Applied Analysis, 2014
The problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp  (p>1) and classical Orlicz ...
Xin He, Jijie Yu, Yunan Cui, Xin Huo
doaj   +1 more source

On extreme points of Orlicz spaces with Orlicz norm

Collectanea Mathematica, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hudzik, Henryk, Wisla, Marek
openaire   +2 more sources

Strict convexity of sequence Orlicz-Musielak spaces with Orlicz norm

Journal of Functional Analysis, 1983
AbstractH. Milnes gave in (Pacific J. Math. 18 (1957), 1451–1483) a criterion for strict convexity of Orlicz spaces with respect to the so called Orlicz norm, in the case of nonatomic measure and a usual Young function. Here there are presented necessary and sufficient conditions for strict convexity of Orlicz-Musielak spaces (J. Musielak and W. Orlicz,
openaire   +2 more sources

Empirical Orlicz norms

The empirical Orlicz norm based on a random sample is defined as a natural estimator of the Orlicz norm of a univariate probability distribution. A law of large numbers is derived under minimal assumptions. The latter extends readily to a linear and a nonparametric regression model.
openaire   +2 more sources

Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]

Arch Ration Mech Anal, 2023
Karpukhin M, Lagacé J, Polterovich I.
europepmc   +1 more source

Two properties of norms in Orlicz spaces

Le 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  

Orlicz Spaces and Their Hyperbolic Composition Operators

Mathematics
In this paper, by extending some Lp-norm inequalities to similar inequalities for Orlicz space (LΦ-norm), we provide equivalent conditions for composition operators to have the shadowing property on the Orlicz space LΦ(μ).
Mohammed Said Al Ghafri, Yousef Estaremi, Zhidong Huang   +2 more
doaj   +1 more source