Results 51 to 60 of about 5,405,878 (192)

On the Lie Algebra of polarizable Carnot groups [PDF]

open access: yesAnalysis and Mathematical Physics, 2020
Let \(G\) be a Carnot group equipped with a left-invariant sub-Riemannian metric, induced by an inner product \(\langle \cdot, \cdot \rangle\) on the first layer of its Lie algebra \(\mathfrak{g}\). The metric induces a family of \(p\)-sub-Laplacians \(\Delta_p\) on \(G\), where \(\Delta_2\) is the usual sub-Laplacian. Following [\textit{Z. M.
openaire   +2 more sources

Access to Uncharted (Ethoxy)difluoromethylated‐Containing Tetrahydrofurans by Hydrogenation

open access: yesChemistry – A European Journal, EarlyView.
A Pd/C‐catalyzed selective hydrogenation of (ethoxy)difluoromethylated‐containing tetrahydrofurans was achieved. Depending on the pressure of H2, a divergent process led to either cis CF2CO2Et‐containing tetrahydrofurans or valuable α,α‐difluoro‐β‐hydroxyesters, offering key fluorinated building blocks for drug discovery while keeping the CF2CO2Et ...
Thibaud Charvillat   +7 more
wiley   +1 more source

The regularity problem for geodesics of the control distance

open access: yesBruno Pini Mathematical Analysis Seminar, 2018
In this survey, we present some recent results on the problem about the regularity of length-minimizing curves in sub-Riemannian geometry. We also sketch the possible application of some ideas coming from Geometric Measure Theory.
Roberto Monti
doaj   +1 more source

ZnO Nanowires by Chemical Bath Deposition: A Review on Doping and Functional Devices

open access: yesElectron, EarlyView.
This review reports the most recent and well‐established state‐of‐the‐art and scientific challenges related to the doping of ZnO nanowires by chemical bath deposition, encompassing native point and hydrogen‐related defects, as well as extrinsic dopants.
Clément Lausecker   +3 more
wiley   +1 more source

Dual‐Functionality, Bio‐Friendly Artificial Muscles for Actuation and Motion Sensing in Smart Wearable Systems

open access: yesSmall, EarlyView.
This work presents a biofriendly carbon nanotube yarn artificial muscle operating either as an in‐air unipolar actuator or as a self‐powered ionotronic strain sensor. Using a non‐volatile eutectogel‐derived electrolyte, the system achieves up to 2.9% contraction and 0.5 mV/% strain sensing sensitivity.
Gabriela Ananieva   +11 more
wiley   +1 more source

Curvature exponent and geodesic dimension on Sard-regular Carnot groups

open access: yesAnalysis and Geometry in Metric Spaces
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
doaj   +1 more source

Functional properties of limits of Sobolev homeomorphisms with integrable distortion

open access: yesСовременная математика: Фундаментальные направления
The functional and geometric properties of limits of homeomorphisms with integrable distortion of domains in Carnot groups are studied. The homeomorphisms belong to Sobolev classes.
S. K. Vodopyanov, S. V. Pavlov
doaj   +1 more source

Integral Representation of Local Left–Invariant Functionals in Carnot Groups

open access: yesAnalysis and Geometry in Metric Spaces, 2019
The aim of this note is to prove a representation theorem for left–invariant functionals in Carnot groups. As a direct consequence, we can also provide a Г-convergence result for a smaller class of functionals.
Maione A., Vecchi E.
doaj   +1 more source

An Overview of High‐Temperature Superconducting Cables in DC Systems: Unlocking Potential for High‐Voltage DC Networks

open access: yesHigh Voltage, EarlyView.
ABSTRACT This paper provides an overview of high‐temperature superconducting (HTS) cables in DC systems, with a focus on their deployment in high‐voltage DC (HVDC) networks. The assessment of HTS cable properties—such as extremely low electrical resistance, high current‐carrying capacity and a compact geometry—and their comparison with those of ...
Mohammad Hossein Mousavi   +2 more
wiley   +1 more source

Almost uniform domains and Poincaré inequalities

open access: yesTransactions of the London Mathematical Society, 2021
Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure.
Sylvester Eriksson‐Bique, Jasun Gong
doaj   +1 more source

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