Results 21 to 30 of about 4,824,817 (357)
Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
AIMS Mathematics, 2022 In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.
B. Sultan +5 more
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Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent
Fractal and Fractional, 2022 In this paper, we introduce grand weighted Herz–Morrey spaces with a variable exponent and prove the boundedness of fractional integrals on these spaces.
B. Sultan +5 more
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On a new fractional Sobolev space with variable exponent on complete manifolds
Boundary Value Problems, 2022 We present the theory of a new fractional Sobolev space in complete manifolds with variable exponent. As a result, we investigate some of our new space’s qualitative properties, such as completeness, reflexivity, separability, and density.
A. Aberqi +3 more
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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 +2 more
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An eigenvalue problem with variable exponents [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2013 A highly nonlinear eigenvalue problem is studied in a Sobolev space with variable exponent. The Euler-Lagrange equation for the minimization of a Rayleigh quotient of two Luxemburg norms is derived. The asymptotic case with a "variable infinity" is treated. Local uniqueness is proved for the viscosity solutions.
FRANZINA, GIOVANNI, Lindqvist, Peter
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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
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Variable exponent Fock spaces [PDF]
Czechoslovak Mathematical Journal, 2019 In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
Gerardo R. Chacón, Gerardo A. Chacon
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Minimization of quotients with variable exponents [PDF]
Journal of Differential Equations, 2018 Let $ $ be a bounded domain of $\mathbb{R}^{N}$, $p\in C^{1}(\overline ),$ $q\in C(\overline )$ and $l,j\in\mathbb{N}.$ We describe the asymptotic behavior of the minimizers of the Rayleigh quotient $\frac{\Vert\nabla u\Vert_{lp(x)}}{\Vert u\Vert_{jq(x)}}$, first when $j\rightarrow\infty$ and after when $l\rightarrow\infty.$
C.O. Alves +2 more
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Interpolation in variable exponent spaces [PDF]
Revista Matemática Complutense, 2013 In this paper we study both real and complex interpolation in the recently introduced scales of variable exponent Besov and Triebel–Lizorkin spaces. We also take advantage of some interpolation results to study a trace property and some pseudodifferential operators acting in the variable index Besov scale.
Almeida, Alexandre, Hästö, Peter
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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
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