Results 141 to 150 of about 12,405,055 (272)
Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
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Chaotic Geodesics in Carnot Groups
, 1997 The group of real 4 by 4 upper triangular matrices with 1s on the diagonal has a left-invariant subRiemannian (or Carnot-Caratheodory) structure whose underlying distribution corresponds to the superdiagonal. We prove that the associated subRiemannian geodesic flow is not completely integrable.
Montgomery, R., Shapiro, M., Stolin, A.
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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
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Learning with computer simulations: a case study on reservoir temperatures in carnot cycles
Investigações em Ensino de CiênciasComputer 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 +2 more
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A note on the engulfing property and the $\Gamma ^{1+ \alpha }$-regularity of convex functions in Carnot groups [PDF]
, 2006 Luca Capogna, Diego Maldonado
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The Hardy inequality and nonlinear parabolic equations on Carnot groups [PDF]
, 2007 Jerome A. Goldstein, İsmail Kömbe
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A metric boundary theory for Carnot groups [PDF]
arXivIn 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 piecewise-defined using Pansu derivatives.
arxiv
Sharp weighted Hardy type inequalities and Hardy–Sobolev type inequalities on polarizable Carnot groups [PDF]
, 2008 Jialin Wang, Pengcheng Niu
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Revista matemática iberoamericana, 2023 Sebastiano Nicolussi Golo, B. Warhurst
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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
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