Results 21 to 30 of about 135,875 (309)
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
openaire +7 more sources
Minimization of quotients with variable exponents [PDF]
Journal of Differential Equations, 2018 Let $ $ be a bounded domain of $\mathbb{R}^{N}$, $p\in C^{1}(\overline ),$ $q\in C(\overline )$ 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
openaire +3 more sources
Interpolation in variable exponent spaces [PDF]
Revista Matemática Complutense, 2013 In this paper we study both real and complex interpolation in the recently introduced scales of variable exponent Besov and Triebel–Lizorkin spaces. We also take advantage of some interpolation results to study a trace property and some pseudodifferential operators acting in the variable index Besov scale.
Almeida, Alexandre, Hästö, Peter
openaire +4 more sources
Sobolev embeddings with variable exponent [PDF]
Studia Mathematica, 2000 Let \(\Omega\) be a bounded open subset of \(\mathbb R^n\) with Lipschitz boundary and let \(p:\overline{\Omega}\to [1,\infty)\) be Lipschitz-continuous. The authors consider the generalised Lebesgue space \(L^{p(x)}(\Omega)\) and the corresponding Sobolev space \(W^{1,p(x)}(\Omega)\), consisting of all \(f\in L^{p(x)}(\Omega)\) with first-order ...
Jiří Rákosník, David E. Edmunds
openaire +3 more sources
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
openaire +4 more sources
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.
Gerardo R. Chacón, Gerardo A. Chacon
openaire +2 more sources
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
doaj +1 more source
Analytic variable exponent Hardy spaces [PDF]
Advances in Operator Theory, 2019 We introduce a variable exponent version of the Hardy space of analytic functions on the unit disk, we show some properties of the space, and give an example of a variable exponent $p(\cdot)$ that satisfies the $\log$-H lder condition such that $H^{p(\cdot)}\neq H^q$ for any constant exponent ...
Chacón, G. A., Chacón, G. R.
openaire +4 more sources
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
doaj +1 more source
Function Spaces with a Random Variable Exponent [PDF]
Abstract and Applied Analysis, 2011 The spaces with a random variable exponent Lp(ω)(D × Ω) and Wk,p(ω)(D × Ω) are introduced. After discussing the properties of the spaces Lp(ω)(D × Ω) and Wk,p(ω)(D × Ω), we give an application of these spaces to the stochastic partial differential equations with random variable growth.
Tian, Boping, Fu, Yongqiang, Xu, Bochi
openaire +3 more sources