Results 11 to 20 of about 9,702 (260)
Malliavin Derivatives in Spaces with Variable Exponents [PDF]
Journal of Function Spaces, 2014 Spaces with variable exponents Lpx(H,μ) and Lpx(H,μ;H) are introduced. After discussing some approximation results of Lpx(H,μ), Sobolev spaces on H with variable exponents are introduced.
Bochi Xu, Yongqiang Fu, Boping Tian
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Existence of solutions for critical systems with variable exponents
Mathematical Modelling and Analysis, 2018 In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. Using a variant of concentration-compactness principle, we prove an existence result.
Hadjira Lalilia, Saadia Tas, Ali Djellit
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A Picone identity for variable exponent operators and applications [PDF]
Advances in Nonlinear Analysis, 2019 In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh +2 more
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Recovering a variable exponent
Documenta Mathematica, 2021 We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x) -Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural obstruction of rearrangements.
Brander, Tommi, Siltakoski, Jarkko
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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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Variable Exponent Besov–Morrey Spaces [PDF]
Journal of Fourier Analysis and Applications, 2020 In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of non-standard function spaces requires the introduction of variable exponent mixed Morrey-sequence spaces, which in ...
Almeida, Alexandre, Caetano, António
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Methods of Retrieving Large-Variable Exponents [PDF]
Symmetry, 2022 Methods of determining, from small-variable asymptotic expansions, the characteristic exponents for variables tending to infinity are analyzed. The following methods are considered: diff-log Padé summation, self-similar factor approximation, self-similar diff-log summation, self-similar Borel summation, and self-similar Borel–Leroy summation.
Vyacheslav I. Yukalov, Simon Gluzman
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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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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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