Results 61 to 70 of about 4,806,779 (356)
New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
Journal of Function Spaces and Applications, 2012 The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced.
Baohua Dong, Jingshi Xu
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Two solutions for Dirichlet double phase problems with variable exponents
Advanced Nonlinear StudiesThis paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
E. Amoroso +3 more
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Advanced Engineering Materials, EarlyView., 2023 This study aims to explore the feasibility of using a structure inspired by the features of horsetail and human spine as the potential helmet liner, targeting at mitigation of acceleration‐induced injuries. A parametric study is conducted to investigate the effect of individual geometrical variables in the design, indicating its capability to reduce ...
Bing Leng +3 more
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Integro-differential systems with variable exponents of nonlinearity
Open Mathematics, 2017 Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
Buhrii Oleh, Buhrii Nataliya
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Existence and uniqueness of weak solution of p(x)- Laplacian in Sobolev spaces with variable exponents in complete manifolds [PDF]
Filomat, 2020 The paper deals with the existence and uniqueness of a non-trivial solution to non-homogeneous p(x)- Laplacian equations, managed by non polynomial growth operator in the framework of variable exponent Sobolev spaces on Riemannian manifolds.
O. Benslimane, A. Aberqi, J. Bennouna
semanticscholar +1 more source
Flexural Behavior of Bidirectionally Graded Lattice
Advanced Engineering Materials, EarlyView., 2023 An experimental study of the bending behavior of bidirectional body‐centered cubic lattice beams is conducted in comparison to uniform and unidirectional counterparts of electron beam melted SS 316 L. Experimental results are used to develop and validate a finite element model which is subsequently used to conduct parametric studies to assess the ...
Chamini Rodrigo +4 more
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A Variational Beam Model for Failure of Cellular and Truss‐Based Architected Materials
Advanced Engineering Materials, EarlyView., 2023 Herein, a versatile and efficient beam modeling framework is developed to predict the nonlinear response and failure of cellular, truss‐based, and woven architected materials. It enables the exploration of their design space and the optimization of their mechanical behavior in the nonlinear regime. A variational formulation of a beam model is presented
Konstantinos Karapiperis +3 more
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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 Izquierdo, Joaquín +2 more
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An eigenvalue problem related to the variable exponent double-phase operator
AIMS MathematicsIn this paper, we studied a double-phase eigenvalue problem with large variable exponents. Let $ \lambda^{1}_{(p_{n}(\cdot), \, q_{n}(\cdot))} $ be the first eigenvalues and $ u_{n} $ be the first eigenfunctions, normalized by $ \|u_{n}\|_{\mathcal{H}_{n}
Lujuan Yu, Beibei Wang, Jianwei Yang
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Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
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