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
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Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents
Mathematics, 2020 In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents.
Marko Kostić, Wei-Shih Du
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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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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 +2 more
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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 +3 more
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New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems [PDF]
Calculus of Variations and Partial Differential Equations, 2022 In this paper we present new embedding results for Musielak–Orlicz Sobolev spaces of double phase type. Based on the continuous embedding of $$W^{1,\mathcal {H}}(\Omega )$$ W 1 , H ( Ω ) into $$L^{\mathcal {H}_*}(\Omega )$$ L H ∗ ( Ω ) , where $$\mathcal
Ky Ho, Patrick Winkert
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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
V. Yukalov, S. Gluzman
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Singular quasilinear convective systems involving variable exponents [PDF]
Opuscula Mathematica, 2022 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, D. Nabab, J. Velin
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Infinitely many solutions to Kirchhoff double phase problems with variable exponents [PDF]
Applied Mathematics Letters, 2022 In this work we deal with elliptic equations driven by the variable exponent double phase operator with a Kirchhoff term and a right-hand side that is just locally defined in terms of very mild assumptions.
Ky Ho, Patrick Winkert
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Variable Anisotropic Hardy Spaces with Variable Exponents
Analysis and Geometry in Metric Spaces, 2021 Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen +3 more
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