Results 11 to 20 of about 25,777 (261)
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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Universal Singular Exponents in Catalytic Variable Equations [PDF]
Journal of Combinatorial Theory, Series A, 2021 Catalytic equations appear in several combinatorial applications, most notably in the numeration of lattice path and in the enumeration of planar maps. The main purpose of this paper is to show that the asymptotic estimate for the coefficients of the solutions of (so-called) positive catalytic equations has a universal asymptotic behavior.
Drmota, Michael +2 more
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A variable exponent boundedness of the Steklov operator [PDF]
Mathematical Inequalities & Applications, 2021 Summary: In this paper, a sufficiency condition for boundedness of the Steklov operator \[ S_hf(x)=\frac{1}{h}\int^{x+h}_xf(t)dt,\quad h>0 \] has been proved in variable exponent Lebesgue space \(L^{p(.)}(0,\infty)\). Here an infinite interval \((0,\infty)\) has been considered with a new decay condition on infinity. A finite interval \([0,2\pi]\) case
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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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Variable exponent diffusion for image detexturing
Machine Vision and Applications, 2023 AbstractWe consider a variational approach to the problem of structure + texture decomposition (also known as cartoon + texture decomposition). As usual for many variational problems in image analysis and processing, the energy we minimize consists of two terms: a data-fitting term and a regularization term. The main feature of our approach consists of
Pierre-Alain Fayolle +1 more
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Inclusion Properties of The Homogeneous Herz-Morrey Spaces With Variable Exponent
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 In this paper, we have discussed about the inclusion properties of the homogeneous Herz-Morrey spaces with variable exponent and the weak homogeneous spaces with variable exponent. We also studied the inclusion relation between those spaces.
Hairur Rahman
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Open Mathematics, 2021 In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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A Note on Variable Exponent Hörmander Spaces [PDF]
Mediterranean Journal of Mathematics, 2013 [EN] In this paper we introduce the variable exponent Hormander spaces and we study some of their properties. In particular, it is shown that is isomorphic to (Omega open set in and the Hardy-Littlewood maximal operator M is bounded in extending a Hormander's result to our context. As a consequence, a number of results on sequence space representations
Motos, Joaquín +2 more
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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. Our result is obtained using the topological degree for a class of demicontinuous operators of generalized $(S_{+})$ type and ...
Hasnae El Hammar +3 more
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Malliavin Derivatives in Spaces with Variable Exponents [PDF]
Journal of Function Spaces, 2014 Spaces with variable exponentsLpx(H,μ)andLpx(H,μ;H)are introduced. After discussing some approximation results ofLpx(H,μ), Sobolev spaces onHwith variable exponents are introduced. At last, we define Malliavin derivatives inLpx(H,μ)and discuss some properties of Malliavin derivatives inLpx(H,μ).
Bochi Xu, Yongqiang Fu, Boping Tian
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