Results 101 to 110 of about 964 (155)

Classes of nonrigid carnot groups

, 2012
The main purpose of this paper is to provide examples of nonrigid Carnot groups that do not appear in the literature. We use a condition in a previous article in order to construct such examples.
Tuan Norhafizah binti Tuan Zakaria
core  

Learning with computer simulations: a case study on reservoir temperatures in carnot cycles

Investigações em Ensino de Ciências
Computer simulations have played a significant role in the development of physics, and in physics education as well. Researchers have addressed whether simulations promote learning, but few studies have investigated how simulations actually participate ...
Juan José Velasco, Laura María Buteler, Enrique Andres Coleoni   +2 more
doaj   +1 more source

Double ball property: an overview and the case of step two Carnot groups

Bruno Pini Mathematical Analysis Seminar, 2012
We investigate the notion of the so-called Double Ball Property, which concerns the nonnegative sub-solutions of some differential operators. Thanks to the axiomatic approach developed in [6], this is an important tool in order to solve the Krylov ...
Giulio Tralli
doaj  

A unified approach to L p $L^{p}$ Hardy and Rellich-type inequalities in Euclidean and non-Euclidean settings

Journal of Inequalities and Applications
We present a unified and concise method for establishing L p $L^{p}$ Hardy and Rellich inequalities for a broad class of subelliptic operators of divergence type.
Lorenzo D’Arca
doaj   +1 more source

The regularity problem for sub-Riemannian geodesics

reservedThe first section of this thesis aims to illustrate the regularity problem for geodesics in sub-Riemannian manifolds, which can be intended as metric spaces when endowed with the Carnot-Caratheodory if Hörmander's condition holds for the ...
BAGLIONI, GIORGIO
core  

Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups

Electronic Journal of Differential Equations, 2016
In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too
Haiyan Yu, Shenzhou Zheng
doaj  

Isoperimetric Inequalities in Carnot Groups

, 2012
The isoperimetric problem is a very classical problem whose history dates back to more than two thousand years ago. Roughly speaking, the isoperimetric problem is to determine the largest possible area enclosed by a closed curve which has a specified ...
Liming Wang (114648)
core  

Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

Analysis and Geometry in Metric Spaces
Given a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
doaj   +1 more source

Constructing Hölder maps to Carnot groups

Journal of the American Mathematical Society
In this paper, we construct Hölder maps to Carnot groups equipped with a Carnot metric, especially the first Heisenberg group H \mathbb {H}
Wenger, Stefan, Young, Robert
openaire   +3 more sources

A metric boundary theory for Carnot groups

In this paper, we study characteristics of horofunction boundaries of Carnot groups. In particular, we show that for Carnot groups, i.e., stratified nilpotent Lie groups equipped with certain left-invariant homogeneous metrics, all horofunctions are ...
Fisher, Nate
core