Results 41 to 50 of about 5,632,634 (320)
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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Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents [PDF]
Mathematica Bohemica, 2022 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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Error Exponents for Variable-length Block Codes with Feedback and Cost Constraints [PDF]
, 2006 Variable-length block-coding schemes are investigated for discrete memoryless channels with ideal feedback under cost constraints. Upper and lower bounds are found for the minimum achievable probability of decoding error $P_{e,\min}$ as a function of ...
Gallager, R. G., Nakiboglu, B.
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On the structure of variable exponent spaces [PDF]
Indagationes Mathematicae, 2020 The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) $\lpv$. In the second part strictly singular and disjointly strictly singular operators between spaces $\lpv$ are studied.
Julio Flores +3 more
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The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 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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Lorentz spaces with variable exponents [PDF]
Mathematische Nachrichten, 2013 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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On the Mixing of Diffusing Particles [PDF]
, 2002 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 boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth [PDF]
Journal of Differential Equations, 2020 In this paper we prove the boundedness and Holder continuity of quasilinear elliptic problems involving variable exponents for a homogeneous Dirichlet and a nonhomogeneous Neumann boundary condition, respectively. The novelty of our work is the fact that
Ky Ho +3 more
semanticscholar +1 more source
Minimization of quotients with variable exponents [PDF]
Journal of Differential Equations, 2018 Let $Ω$ be a bounded domain of $\mathbb{R}^{N}$, $p\in C^{1}(\overlineΩ),$ $q\in C(\overlineΩ)$ and $l,j\in\mathbb{N}.$ We describe the asymptotic behavior of the minimizers of the Rayleigh quotient $\frac{\Vert\nabla u\Vert_{lp(x)}}{\Vert u\Vert_{jq(x)}}$, first when $j\rightarrow\infty$ and after when $l\rightarrow\infty.$
C.O. Alves +2 more
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Integro-differential systems with variable exponents of nonlinearity
Open Mathematics, 2017 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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