Results 1 to 10 of about 139,960 (305)
Variable Anisotropic Hardy Spaces with Variable Exponents [PDF]
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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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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On the Sobolev trace Theorem for variable exponent spaces in the critical range [PDF]
, 2013 In this paper we study the Sobolev Trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals.
Bonder, Julian Fernandez +2 more
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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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Journal of Mathematics, 2023 In this paper, a new pseudoparabolic equation with logarithmic nonlinearity of variable exponents is investigated. By using the energy functional and the classical potential well, we obtain the global existence and blow-up results of weak solutions with ...
Rongting Pan, Yunzhu Gao, Qiu Meng
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Local Muckenhoupt class for variable exponents
Journal of Inequalities and Applications, 2021 This work extends the theory of Rychkov, who developed the theory of A p loc $A_{p}^{\mathrm{loc}}$ weights. It also extends the work by Cruz-Uribe SFO, Fiorenza, and Neugebauer. The class A p ( ⋅ ) loc $A_{p(\cdot )}^{\mathrm{loc}}$ is defined.
Toru Nogayama, Yoshihiro Sawano
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Journal of Function Spaces, 2021 In this paper, the variable-order fractional Laplacian equations with variable exponents and the Kirchhoff-type problem driven by p·-fractional Laplace with variable exponents were studied.
Yating Guo, Guoju Ye
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AIMS Mathematics, 2022 In this work, we consider a viscoelastic wave equation with boundary damping and variable exponents source term. The damping terms and variable exponents are localized on a portion of the boundary.
Adel M. Al-Mahdi +3 more
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Calderón Operator on Local Morrey Spaces with Variable Exponents
Mathematics, 2021 In this paper, we establish the boundedness of the Calderón operator on local Morrey spaces with variable exponents. We obtain our result by extending the extrapolation theory of Rubio de Francia to the local Morrey spaces with variable exponents.
Kwok-Pun Ho
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AIMS Mathematics, 2023 In this paper, we consider a coupled system of Laplacian and bi-Laplacian equations with nonlinear dampings and source terms of variable-exponents nonlinearities. This system is supplemented with initial and mixed boundary conditions. First, we establish
Salim A. Messaoudi +3 more
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