Results 11 to 20 of about 4,824,817 (357)
Maximal operator on variable exponent spaces [PDF]
arXivWe 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 +2 more
arxiv +4 more sources
On solutions of anisotropic elliptic equations with variable exponent and measure data [PDF]
arXiv, 2018 The Dirichlet problem in arbitrary domains for a wide class of anisotropic elliptic equations of the second order with variable exponent nonlinearities and the right-hand side as a measure is considered. The existence of an entropy solution in anisotropic Sobolev spaces with variable exponents is established.It is proved that the obtained entropy ...
L. M. Kozhevnikova
arxiv +3 more sources
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 +2 more
openaire +3 more sources
Regularity of solutions to degenerate fully nonlinear elliptic equations with variable exponent [PDF]
Bulletin of the London Mathematical Society, 2021 We consider the fully nonlinear equation with variable‐exponent double phase type degeneracies |Du|p(x)+a(x)|Du|q(x)F(D2u)=f(x).Under some appropriate assumptions, by making use of geometric tangential methods and combing a refined improvement‐of ...
Yuzhou Fang +2 more
semanticscholar +1 more source
Variable Anisotropic Hardy Spaces with Variable Exponents [PDF]
Analysis and Geometry in Metric Spaces, 2021 Abstract Let p(·) : ℝ n → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝ n introduced by Dekel et al. [12].
Zhenzhen Yang +3 more
openaire +3 more sources
Boletim da Sociedade Paranaense de Matemática, 2022 We establish the existence of weak solution for a class of $p(x)$-Kirchhoff type problem for the $p(x)$-Laplacian-like operators with Dirichlet boundary condition and with gradient dependence (convection) in the reaction term.
Hasnae El Hammar +3 more
doaj +1 more source
Recovering a variable exponent
Documenta Mathematica, 2021 We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x) -Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural obstruction of rearrangements.
Brander, Tommi, Siltakoski, Jarkko
openaire +5 more sources
Methods of Retrieving Large-Variable Exponents [PDF]
Symmetry, 2022 Methods of determining, from small-variable asymptotic expansions, the characteristic exponents for variables tending to infinity are analyzed. The following methods are considered: diff-log Padé summation, self-similar factor approximation, self-similar diff-log summation, self-similar Borel summation, and self-similar Borel–Leroy summation.
Vyacheslav I. Yukalov, Simon Gluzman
openaire +2 more sources
On the structure of variable exponent spaces [PDF]
Indagationes Mathematicae, 2020 The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) $\lpv$. In the second part strictly singular and disjointly strictly singular operators between spaces $\lpv$ are studied.
Julio Flores +3 more
openaire +3 more sources
Local Muckenhoupt class for variable exponents [PDF]
Journal of Inequalities and Applications, 2021 AbstractThis work extends the theory of Rychkov, who developed the theory of$A_{p}^{\mathrm{loc}}$Aplocweights. It also extends the work by Cruz-Uribe SFO, Fiorenza, and Neugebauer. The class$A_{p(\cdot )}^{\mathrm{loc}}$Ap(⋅)locis defined. The weighted inequality for the local Hardy–Littlewood maximal operator on Lebesgue spaces with variable ...
Yoshihiro Sawano, Toru Nogayama
openaire +4 more sources