Results 181 to 190 of about 3,104 (212)

Quasi-convex Functions in Carnot Groups*

Chinese Annals of Mathematics, Series B, 2007
The authors introduce the concept of \(h\)-quasiconvexity which generalizes the notion of \(h\)-convexity in the Carnot group \(G\). An example of \(h\)-quasiconvex function which is not \(h\)-convex is provided. Some interesting properties similar to those of \(h\)-convex functions on \(G\) are given.
Sun, Mingbao, Yang, Xiaoping
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Elements of Potential Theory on Carnot Groups

Functional Analysis and Its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruzhansky, MV, Suragan, D
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Homogenization and Convergence of Correctors in Carnot Groups

Communications in Partial Differential Equations, 2005
ABSTRACT We consider homogenization of differential operators of the form where is a family of linearly independent vector fields in ℝ N that by commutation generate the Lie algebra of a Carnot group, a ij (ξ) are periodic functions in the sense of the group, and δ1/e are the dilations in the group. We establish Meyers type estimates for the horizontal
FRANCHI, BRUNO, Gutiérrez C. E., van Nguyen T.   +2 more
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WAVE AND MAXWELL'S EQUATIONS IN CARNOT GROUPS

Communications in Contemporary Mathematics, 2012
In this paper we define Maxwell's equations in the setting of the intrinsic complex of differential forms in Carnot groups introduced by M. Rumin. It turns out that these equations are higher-order equations in the horizontal derivatives. In addition, when looking for a vector potential, we have to deal with a new class of higher-order evolution ...
FRANCHI, BRUNO, TESI, MARIA CARLA
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Classification of a Class of Nonrigid Carnot Groups

Journal of Lie Theory, 2015
The authors classify up to isomorphism a class of nonrigid Carnot groups. They also identify all \(C^2\) quasiconformal maps of these nonrigid Carnot groups. The results are interesting.
Hughes, Michael R., Staic, Mihai D., Xie, Xiangdong   +2 more
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Classes of Maximal Surfaces on Carnot Groups

Siberian Mathematical Journal, 2020
This paper contains a discussion of graph surfaces in nilpotent Lie groups with sub-Lorentzian geometric structure. Such graph surfaces are a generalization of Euclidean graphs to the setting of contact mappings between appropriately structured nilpotent Lie groups.
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Quasiregular maps on Carnot groups

Journal of Geometric Analysis, 1997
The authors develop a theory of quasiregular maps in a sub-Riemannian geometry of two-step Carnot groups. An analytic definition for quasiregularity is suggested and it is shown that conconstant quasiregular maps are open and discrete maps on Carnot groups which are two-step nilpotent and of Heisenberg type. Some results which are known to be valid in \
Heinonen, Juha, Holopainen, Ilkka
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Convexity in Carnot groups

2005
We give an account of recent results and open questions related to the notion of convexity in Carnot groups.
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Key components for Carnot Battery: Technology review, technical barriers and selection criteria

Renewable and Sustainable Energy Reviews, 2022
Andrea Vecchi, Kai Knobloch, Adriano Sciacovelli   +2 more
exaly  

Optimal integration of solar collectors to Carnot battery system with regenerators

Energy Conversion and Management, 2023
Jintao Niu, Xueling Liu, Liwei Dong
exaly