Results 161 to 170 of about 4,824,817 (357)
Fréchet Envelopes of Nonlocally Convex Variable Exponent Hörmander Spaces
We show that the dual Bp·locΩ′ of the variable exponent Hörmander space Bp(·)loc(Ω) is isomorphic to the Hörmander space B∞c(Ω) (when the exponent p(·) satisfies the conditions ...
Joaquín Motos+2 more
doaj +1 more source
Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent [PDF]
Our aim in this paper is to characterize local Muckenhoupt weighted Lebesgue spaces with variable exponent by compactly supported smooth wavelets. We also investigate necessary and sufficient conditions for the corresponding modular inequalities to hold.
arxiv
Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices
Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley +1 more source
Two methods addressing variable-exponent fractional initial and boundary value problems and Abel integral equation [PDF]
Variable-exponent fractional models attract increasing attentions in various applications, while the rigorous analysis is far from well developed. This work provides general tools to address these models. Specifically, we first develop a convolution method to study the well-posedness, regularity, an inverse problem and numerical approximation for the ...
arxiv
A metallic implant's higher stiffness compared to the surrounding bone leads to stress shielding problems, causing bone density reduction and bone growth interference in pediatric patients. 3D‐printed triply periodic minimal surface structures present a promising engineering solution.
Ali Ebrahimzadeh Dehaghani+4 more
wiley +1 more source
In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia+2 more
wiley +1 more source
Sobolev embeddings for unbounded domain with variable exponent having values across N [PDF]
Xianling Fan
openalex +1 more source
The study presents an efficient simulation approach for the polymer laser powder bed fusion process polymers process, validated with polyamide 12, polyamide 6, and polyetherketoneketone. It shows that inter layer time affects part density, with 90s yielding dense parts.
Claas Bierwisch+4 more
wiley +1 more source
Stability Exponents, Separation of Variables, and Lyapunov Transforms
William E. Wiesel
openalex +2 more sources
Existence of Solutions for a Class of Variable Exponent Integrodifferential System Boundary Value Problems [PDF]
Guizhen Zhi+3 more
openalex +1 more source