Results 61 to 70 of about 4,824,817 (357)
Variable order nonlocal Choquard problem with variable exponents [PDF]
Complex Variables and Elliptic Equations, 2020 In this article, we study the existence/multiplicity results for the following variable order nonlocal Choquard problem with variable exponents (- )_{p(\cdot)}^{s(\cdot)}u(x)&= |u(x)|^{ (x)-2}u(x)+ \left(\DD\int_ \frac{F(y,u(y))}{|x-y|^{ (x,y)}}dy\right)f(x,u(x)), x\in , u(x)&=0, x\in \mathbb R^N\setminus , where $ \subset\mathbb R^N ...
Reshmi Biswas, Sweta Tiwari
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Creep Characterization of Inconel 718 Lattice Metamaterials Manufactured by Laser Powder Bed Fusion
Advanced Engineering Materials, EarlyView., 2023 Herein, the creep characteristics of additively manufactured Inconel 718 metamaterials are investigated. The creep behavior of metamaterials and the effects of microstructural defects are assessed, and the microstructure defects are accurately captured using Kachanov's creep damage model.
Akash Singh Bhuwal +5 more
wiley +1 more source
Weighted Variable Exponent Sobolev spaces on metric measure spaces
Moroccan Journal of Pure and Applied Analysis, 2018 In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj +1 more source
Boundedness of fractional integrals on weighted Herz spaces with variable exponent
Journal of Inequalities and Applications, 2016 Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
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Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
Journal of Mathematics, 2022 This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ-central bounded mean ...
Amjad Hussain, Muhammad Asim, Fahd Jarad
doaj +1 more source
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
wiley +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
wiley +1 more source
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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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
wiley +1 more source
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
wiley +1 more source