Results 11 to 20 of about 5,632,634 (320)
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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Local regularity for nonlocal equations with variable exponents [PDF]
Mathematische Nachrichten, 2021 In this paper, we study local regularity properties of minimizers of nonlocal variational functionals with variable exponents and weak solutions to the corresponding Euler–Lagrange equations.
Jamil Chaker, Minhyun Kim
semanticscholar +3 more sources
Triebel-Lizorkin-Type Spaces with Variable Exponents [PDF]
Banach Journal of Mathematical Analysis, 2015 In this article, the authors first introduce the Triebel-Lizorkin-type space $F_{p(\cdot),q(\cdot)}^{s(\cdot),\phi}(\mathbb R^n)$ with variable exponents, and establish its $\varphi$-transform characterization in the sense of Frazier and Jawerth, which ...
Yang, Dachun, Yuan, Wen, Zhuo, Ciqiang
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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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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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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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Journal of Mathematics, 2023 In this paper, a new pseudoparabolic equation with logarithmic nonlinearity of variable exponents is investigated. By using the energy functional and the classical potential well, we obtain the global existence and blow-up results of weak solutions with ...
Rongting Pan, Yunzhu Gao, Qiu Meng
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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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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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