Results 21 to 30 of about 10,058 (262)
Variable exponent Fock spaces [PDF]
Czechoslovak Mathematical Journal, 2019 In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
Chacón, Gerardo R., Chacón, Gerardo A.
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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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An eigenvalue problem with variable exponents [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2013 A highly nonlinear eigenvalue problem is studied in a Sobolev space with variable exponent. The Euler-Lagrange equation for the minimization of a Rayleigh quotient of two Luxemburg norms is derived. The asymptotic case with a "variable infinity" is treated. Local uniqueness is proved for the viscosity solutions.
FRANZINA, GIOVANNI, Lindqvist, Peter
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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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Вестник КазНУ. Серия математика, механика, информатика, 2022 The paper considers the global Morrey-type spaces GMp(.),θ(.),w(.)(Ω) with variable exponents p(.), θ(.), where Ω ⊂ Rn is an unbounded domain. The questions of boundedness of the Riesz potential and its commutator in these spaces are investigated.
Zh. M. Onerbek
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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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Coupled nonautonomous inclusion systems with spatially variable exponents
Electronic Journal of Qualitative Theory of Differential Equations, 2021 A family of nonautonomous coupled inclusions governed by $p(x)$-Laplacian operators with large diffusion is investigated. The existence of solutions and pullback attractors as well as the generation of a generalized process are established.
Peter Kloeden, Jacson Simsen
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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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Reaction-diffusion coupled inclusions with variable exponents and large diffusion [PDF]
Opuscula Mathematica, 2021 This work concerns the study of asymptotic behavior of coupled systems of \(p(x)\)-Laplacian differential inclusions. We obtain that the generalized semiflow generated by the coupled system has a global attractor, we prove continuity of the solutions ...
Jacson Simsen +2 more
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