Results 31 to 40 of about 1,673 (173)
Rectifiability in Carnot Groups
, 2022 This thesis is devoted to the study of the theory of rectifiability of sets and measures in the non smooth context of Carnot groups. The focus is on the study of the notion of P-rectifiability and its relation with other notions of rectifiability in Carnot groups.
openaire +2 more sources
Subelliptic and parametric equations on Carnot groups [PDF]
Proceedings of the American Mathematical Society, 2015 This article concerns a class of elliptic equations on Carnot groups depending on one real parameter. Our approach is based on variational methods. More precisely, we establish the existence of at least two weak solutions for the treated problem by using a direct consequence of the celebrated Pucci-Serrin theorem and of a local minimum result for ...
Molica Bisci G, Ferrara M
openaire +5 more sources
The regularity problem for geodesics of the control distance
Bruno 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
Alkene Hydrogenation by a Cationic, Nine‐Coordinate Molybdenum(VI) Pentahydride Catalyst
Chemistry – A European Journal, EarlyView.While late 3d metals dominate efforts to replace precious metals in homogeneous hydrogenation, molybdenum has remained largely ignored. This work reveals that a nine‐coordinate pentahydrido molybdenum complex can hydrogenate a broad range of alkenes efficiently, demonstrating that early‐metal polyhydrides can serve as genuine catalysts rather than mere
Arno Estival +9 more
wiley +1 more source
APPROXIMATIONS OF SOBOLEV NORMS IN CARNOT GROUPS [PDF]
Communications in Contemporary Mathematics, 2011 This paper deals with a notion of Sobolev space W1, pintroduced by Bourgain, Brezis and Mironescu by means of a seminorm involving local averages of finite differences. This seminorm was subsequently used by Ponce to obtain a Poincaré-type inequality.
openaire +3 more sources
ZnO Nanowires by Chemical Bath Deposition: A Review on Doping and Functional Devices
Electron, 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
Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Analysis and Geometry in Metric SpacesIn 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
Современная математика: Фундаментальные направленияThe 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
Analysis 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
Almost uniform domains and Poincaré inequalities
Transactions 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