Results 31 to 40 of about 139,960 (305)
Universal Singular Exponents in Catalytic Variable Equations [PDF]
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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Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents [PDF]
We consider a class of Kirchhoff type reaction-diffusion equations with variable exponents and source terms \begin{equation*} u_t-M\biggl(\int_\Omega\vert\nabla u \vert^2 {\rm d}x\bigg) \Delta u+ \vert u \vert^{m(x) -2}u_t= \vert u \vert^{r(x) -2}u. \end{
Aya Khaldi, Amar Ouaoua, Messaoud Maouni
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On the Mixing of Diffusing Particles [PDF]
We study how the order of N independent random walks in one dimension evolves with time. Our focus is statistical properties of the inversion number m, defined as the number of pairs that are out of sort with respect to the initial configuration.
Ben-Naim, E.
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The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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Encoding the scaling of the cosmological variables with the Euler Beta function [PDF]
We study the scaling exponents for the expanding isotropic flat cosmological models. The dimension of space, the equation of state of the cosmic fluid and the scaling exponent for a physical variable are related by the Euler Beta function that controls ...
A. J. SEGUÍ +7 more
core +2 more sources
Lorentz spaces with variable exponents [PDF]
We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings and the identity . We also show that these spaces arise through real interpolation between and . Furthermore, we answer in a negative way the question posed in whether the Marcinkiewicz interpolation theorem holds in the ...
Kempka, Henning, Vybíral, Jan
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Integro-differential systems with variable exponents of nonlinearity
Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
Buhrii Oleh, Buhrii Nataliya
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Martingale Hardy spaces with variable exponents
In this paper, we introduce Hardy spaces with variable exponents defined on a probability space and develop the martingale theory of variable Hardy spaces.
Chen, Wei +3 more
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Interpolation in variable exponent spaces [PDF]
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Almeida, Alexandre, Hästö, Peter
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New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced.
Baohua Dong, Jingshi Xu
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