Results 21 to 30 of about 295,908 (279)
Variable exponent diffusion for image detexturing
Machine Vision and Applications, 2023 AbstractWe consider a variational approach to the problem of structure + texture decomposition (also known as cartoon + texture decomposition). As usual for many variational problems in image analysis and processing, the energy we minimize consists of two terms: a data-fitting term and a regularization term. The main feature of our approach consists of
Pierre-Alain Fayolle +1 more
openaire +1 more source
Malliavin Derivatives in Spaces with Variable Exponents [PDF]
Journal of Function Spaces, 2014 Spaces with variable exponentsLpx(H,μ)andLpx(H,μ;H)are introduced. After discussing some approximation results ofLpx(H,μ), Sobolev spaces onHwith variable exponents are introduced. At last, we define Malliavin derivatives inLpx(H,μ)and discuss some properties of Malliavin derivatives inLpx(H,μ).
Bochi Xu, Yongqiang Fu, Boping Tian
openaire +2 more sources
Boletim da Sociedade Paranaense de Matemática, 2022 We establish the existence of weak solution for a class of $p(x)$-Kirchhoff type problem for the $p(x)$-Laplacian-like operators with Dirichlet boundary condition and with gradient dependence (convection) in the reaction term. Our result is obtained using the topological degree for a class of demicontinuous operators of generalized $(S_{+})$ type and ...
Hasnae El Hammar +3 more
openaire +3 more sources
A Note on Variable Exponent Hörmander Spaces [PDF]
Mediterranean Journal of Mathematics, 2013 [EN] In this paper we introduce the variable exponent Hormander spaces and we study some of their properties. In particular, it is shown that is isomorphic to (Omega open set in and the Hardy-Littlewood maximal operator M is bounded in extending a Hormander's result to our context. As a consequence, a number of results on sequence space representations
Motos, Joaquín +2 more
openaire +2 more sources
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
openaire +2 more sources
Stochastic multiplicative processes with reset events [PDF]
, 1999 We study a stochastic multiplicative process with reset events. It is shown that the model develops a stationary power-law probability distribution for the relevant variable, whose exponent depends on the model parameters.
Manrubia, Susanna C., Zanette, Damian H.
core +4 more sources
Nonlocal eigenvalue problems with variable exponent
Moroccan Journal of Pure and Applied Analysis, 2018 We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
doaj +1 more source
Capacitary characterization of variable exponent Sobolev trace spaces
Moroccan Journal of Pure and Applied Analysis, 2022 Let Ω ⊂ ℝn be an open set. We give a new characterization of zero trace functions f∈𝒞(Ω¯)∩W01,p(.)(Ω)f \in \mathcal{C}\left( {\bar \Omega } \right) \cap W_0^{1,p\left( . \right)}\left( \Omega \right).
Berghout Mohamed
doaj +1 more source
Journal of Function Spaces, 2019 In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·)
Xukui Shao, Shuangping Tao
doaj +1 more source
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
openaire +3 more sources