Results 31 to 40 of about 75,467 (278)

Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces [PDF]

, 2015
We prove optimal integrability results for solutions of the p(x)-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials map L1 to variable exponent weak Lebesgue ...
A Almeida, A. Almeida, E Acerbi, F Duzaar, F Duzaar, F-Y Maeda, G Mingione, H Triebel, H Triebel, J Kinnunen, L Boccardo, L Boccardo, L Diening, M Sanchón, N Samko, P Harjulehto, P Harjulehto, P. Harjulehto, P. Hästö, PA Hästö, S Samko, T Kilpeläinen, T Kilpeläinen, T Lukkari, T Lukkari, T Lukkari, T. Lukkari, V Bögelein, VG Maz’ya   +28 more
core   +2 more sources

A mass transportation approach for Sobolev inequalities in variable exponent spaces [PDF]

, 2015
In this paper we provide a proof of the Sobolev-Poincar\'e inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that the method is exible enough to deal with different inequalities.
Bonder, Julián Fernández, Borthagaray, Juan Pablo, Silva, Analía   +2 more
core   +2 more sources

Uniform Convexity in Variable Exponent Sobolev Spaces

Symmetry, 2023
We prove the modular convexity of the mixed norm Lp(ℓ2) on the Sobolev space W1,p(Ω) in a domain Ω⊂Rn under the sole assumption that the exponent p(x) is bounded away from 1, i.e., we include the case supx∈Ωp(x)=∞. In particular, the mixed Sobolev norm is uniformly convex if 1<infx∈Ωp(x)≤supx∈Ωp(x)<∞ and W01,p(Ω) is uniformly convex.
Mostafa Bachar, Mohamed Amine Khamsi, Osvaldo Mendez   +2 more
openaire   +1 more source

Approximation by Zygmund means in variable exponent Lebesque spaces [PDF]

Mathematica Moravica, 2019
In the present work we investigate the approximation of the functions by the Zygmund means in variable exponent Lebesgue spaces. Here the estimate which is obtained depends on sequence of the best approximation in Lebesgue spaces with variable exponent ...
Jafarov Sadulla Z.
doaj  

Characterization of Riesz and Bessel potentials on variable Lebesgue spaces

Journal of Function Spaces and Applications, 2006
Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that
Alexandre Almeida, Stefan Samko
doaj   +1 more source

Existence and Uniqueness of Renormalized Solution to Nonlinear Anisotropic Elliptic Problems with Variable Exponent and L1-Data

International Journal of Differential Equations, 2023
Nonlinear partial differential equations are considered as an essential tool for describing the behavior of many natural phenomena. The modeling of some phenomena requires to work in Sobolev spaces with constant exponent.
Ibrahime Konaté, Arouna Ouédraogo
doaj   +1 more source

Boundedness of Riesz Potential Operator on Grand Herz-Morrey Spaces

Axioms, 2022
In this paper, we introduce grand Herz–Morrey spaces with variable exponent and prove the boundedness of Riesz potential operators in these spaces.
Babar Sultan, Fatima Azmi, Mehvish Sultan, Mazhar Mehmood, Nabil Mlaiki   +4 more
doaj   +1 more source

Variable exponent Hardy spaces associated with discrete Laplacians on graphs

, 2017
In this paper we develop the theory of variable exponent Hardy spaces associated with discrete Laplacians on infinite graphs. Our Hardy spaces are defined by square integrals, atomic and molecular decompositions.
Almeida, Víctor, Betancor, Jorge J., Castro, Alejandro J., Rodríguez-Mesa, Lourdes   +3 more
core   +1 more source

Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent

Journal of Function Spaces, 2014
We introduce new Besov and Triebel-Lizorkin spaces with variable integrable exponent, which are different from those introduced by the second author early.
Baohua Dong, Jingshi Xu
doaj   +1 more source

On Some Properties of Integral-Type Operator in Weighted Herz Spaces with Variable Exponent Lebesgue Spaces

Universal Journal of Mathematics and Applications, 2019
For the last quarter century a considerable number of research has been carried out on the study of Herz spaces, variable exponent Lebesgue  spaces and Sobolev spaces.
Lütfi Akın
doaj   +1 more source