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Inclusion Properties of The Homogeneous Herz-Morrey Spaces With Variable Exponent [PDF]

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021
In this paper, we have discussed about the inclusion properties of the homogeneous Herz-Morrey spaces with variable exponent and the weak homogeneous spaces with variable exponent. We also studied the inclusion relation between those spaces.
Hairur Rahman
doaj   +2 more sources

Littlewood-Paley Operators on Morrey Spaces with Variable Exponent [PDF]

The Scientific World Journal, 2014
By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g ...
Shuangping Tao, Lijuan Wang
doaj   +2 more sources

Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique. [PDF]

Sensors (Basel), 2022
Schenone V, Estatico C, Gragnani GL, Pastorino M, Randazzo A, Fedeli A.   +5 more
europepmc   +3 more sources

Modular Geometric Properties in Variable Exponent Spaces

Mathematics, 2022
Much has been written on variable exponent spaces in recent years. Most of the literature deals with the normed space structure of such spaces. However, because of the variability of the exponent, the underlying modular structure of these spaces is ...
Mohamed A. Khamsi, Osvaldo D. Méndez, Simeon Reich   +2 more
doaj   +1 more source

An Extension of a Variational Inequality in the Simader Theorem to a Variable Exponent Sobolev Space and Applications: The Dirichlet Case

International Journal of Analysis and Applications, 2022
In this paper, we shall extend a fundamental variational inequality which is developed by Simader in W1,p to a variable exponent Sobolev space W1,p(·).
Junichi Aramaki
doaj   +1 more source

On some differential equations involving a new kind of variable exponents

Electronic Journal of Qualitative Theory of Differential Equations, 2022
In this paper, we are concerned with some new first order differential equation defined on the whole real axis $\mathbb{R}.$ The principal part of the equation involves an operator with variable exponent $p$ depending on the variable $x \in \mathbb{R ...
Sami Aouaoui
doaj   +1 more source

A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

Open Mathematics, 2021
In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
doaj   +1 more source

Ground states for scalar field equations with anisotropic nonlocal nonlinearities [PDF]

, 2014
We consider a class of scalar field equations with anisotropic nonlocal nonlinearities. We obtain a suitable extension of the well-known compactness lemma of Benci and Cerami to this variable exponent setting, and use it to prove that the Palais-Smale ...
Iannizzotto, Antonio, Perera, Kanishka, Squassina, Marco   +2 more
core   +1 more source

On Variable Exponent Amalgam Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
doaj   +1 more source

Sign-Changing Solutions for Kirchhoff-Type Problems with Variable Exponent

Journal of Mathematics, 2023
This paper is devoted to study a class of Kirchhoff-type problems with variable exponent. By means of the perturbation technique, the method of invariant sets for the descending flow and necessary estimates and the existence of infinitely many sign ...
Changmu Chu, Ying Yu
doaj   +1 more source