Results 41 to 50 of about 14,407 (185)
Hardy type inequality in variable Lebesgue spaces [PDF]
, 2008 We prove that in variable exponent spaces $L^{p(\cdot)}(\Omega)$, where $p(\cdot)$ satisfies the log-condition and $\Omega$ is a bounded domain in $\mathbf R^n$ with the property that $\mathbf R^n \backslash \bar{\Omega}$ has the cone property, the ...
Rafeiro, Humberto, Samko, Stefan
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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
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Asymptotic Analysis of Low Energy Extremals with Γ-Convergence in Variable Exponent Lebesgue Spaces
Fractal and Fractional, 2022 In many physical models, internal energy will run out without external energy sources. Therefore, finding optimal energy sources and studying their behavior are essential issues.
Adil Siddique +3 more
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Nonlocal hyperbolic Stokes system with variable exponent of nonlinearity
Математичні Студії, 2023 In this paper, we study the problem for a nonlinear hyperbolic Stokes system of the second order with an integral term. Sufficient conditions for the uniqueness of the weak solution of this problem are found in a bounded domain. The nonlinear term of the
O. M. Buhrii +2 more
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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
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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
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Journal of Function Spaces, 2020 This paper is devoted to the maximal regularity of sectorial operators in Lebesgue spaces Lp⋅ with a variable exponent. By extending the boundedness of singular integral operators in variable Lebesgue spaces from scalar type to abstract-valued type, the ...
Qinghua Zhang, Yueping Zhu, Feng Wang
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Examining Nonlinear Fredholm Equations in Lebesgue Spaces with Variable Exponents
Symmetry, 2023 We investigate the existence of solutions for the Fredholm integral equation Φ(ϑ)=G(ϑ,Φ(ϑ))+∫01F(ϑ,ζ,Φ(ζ))dζ, for ϑ∈[0,1], in the setting of the modular function spaces Lρ. We also derive an application of this research within the framework of variable exponent Lebesgue spaces Lp(·) subject to specific conditions imposed on the exponent function p ...
Mostafa Bachar +2 more
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Journal of Function Spaces, 2019 In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·)
Xukui Shao, Shuangping Tao
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The Daugavet property in the Musielak-Orlicz spaces
, 2014 We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
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