Results 11 to 20 of about 4,806,779 (356)

Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable
Jingshi Xu, Jinlai Zhu
doaj   +2 more sources

Maximal operator on variable exponent spaces [PDF]

arXiv
We explore the boundedness of the Hardy-Littlewood maximal operator $M$ on variable exponent spaces. Our findings demonstrate that the Muckenhoupt condition, in conjunction with Nekvinda's decay condition, implies the boundedness of $M$ even for unbounded exponents. This extends the results of Lerner, Cruz-Uribe and Fiorenza for bounded exponents.
Adamadze, Daviti, Diening, Lars, Kopaliani, Tengiz   +2 more
arxiv   +4 more sources

Nonlinear elliptic systems with variable exponents and measure data [PDF]

Moroccan Journal of Pure and Applied Analysis, 2015
In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(
Bendahmane Mostafa, Mokhtari Fares
doaj   +2 more sources

Variable order nonlocal Choquard problem with variable exponents [PDF]

Complex Variables and Elliptic Equations, 2019
In this article, we study the existence/multiplicity results for the variable order nonlocal Choquard problem with variable exponents where is a smooth and bounded domain, , and α are continuous functions on and is a Carathéodory function with .
R. Biswas, Sweta Tiwari
semanticscholar   +5 more sources

Fractional Sobolev spaces with variable exponents and fractional $p(x)$-Laplacians

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces.
Uriel Kaufmann, Julio Rossi, Raul Vidal
doaj   +2 more sources

A Picone identity for variable exponent operators and applications [PDF]

Advances in Nonlinear Analysis, 2019
In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh, Giacomoni Jacques, Warnault Guillaume   +2 more
doaj   +5 more sources

Nehari manifold approach for superlinear double phase problems with variable exponents [PDF]

Annali di Matematica Pura ed Applicata, 2022
In this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides. Under very general assumptions on the nonlinearity, we prove a multiplicity result for such problems whereby
Ángel Crespo-Blanco, Patrick Winkert
semanticscholar   +1 more source

Existence Results for Double Phase Problem in Sobolev–Orlicz Spaces with Variable Exponents in Complete Manifold [PDF]

Mediterranean Journal of Mathematics, 2021
In this paper, we study the existence of non-negative non-trivial solutions for a class of double-phase problems where the source term is a Caratheodory function that satisfies the Ambrosetti–Rabinowitz type condition in the framework of Sobolev–Orlicz ...
A. Aberqi, J. Bennouna, O. Benslimane, M. Ragusa   +3 more
semanticscholar   +1 more source

Singular quasilinear convective systems involving variable exponents [PDF]

Opuscula Mathematica, 2023
The paper deals with the existence of solutions for quasilinear elliptic systems involving singular and convection terms with variable exponents. The approach combines the sub-supersolutions method and Schauder's fixed point theorem.
Abdelkrim Moussaoui, Dany Nabab, Jean Vélin   +2 more
doaj   +1 more source

Weak compactness in variable exponent spaces [PDF]

Journal of Functional Analysis, 2021
This paper shows necessary and sufficient conditions on subsets of variable exponent spaces Lp(·)(Ω) in order to be weakly compact. Useful criteria are given extending Andô results for Orlicz spaces. As application, we prove that all separable variable exponent spaces are weakly Banach-Saks.
Francisco L. Hernández, César Ruiz, Mauro Sanchiz   +2 more
openaire   +3 more sources