The Horofunction boundary of the Heisenberg Group: The Carnot-Carathéodory metric [PDF]
, 2010 T M Klein, Andrew Nicas
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Global existence and asymptotic behavior of solutions to a semilinear parabolic equation on Carnot groups [PDF]
, 2015 Zixia Yuan
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Isoperimetric and Sobolev inequalities on hypersurfaces in sub-Riemannian Carnot groups [PDF]
, 2010 Francescopaolo Montefalcone
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Dirichlet problems for linear and semilinear sub-Laplace equations on Carnot groups [PDF]
, 2012 Zixia Yuan, Guanxiu Yuan
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Escape from compact sets of normal curves in Carnot groups [PDF]
, 2023 Enrico Le Donne, Nicola Paddeu
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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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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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Coercive inequalities on Carnot groups: taming singularities
Analysis and Mathematical PhysicsAbstractIn the setting of Carnot groups, we propose an approach of taming singularities to get coercive inequalities. To this end, we develop a technique to introduce natural singularities in the energy function U in order to force one of the coercivity conditions.
Bou Dagher, E., Zegarliński, B.
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Sub-Riemannian geodesics on the free Carnot group with the growth vector (2,3,5,8) [PDF]
, 2014 Yuri L. Sachkov
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Weighted Poincaré inequalities on half spaces in Carnot groups [PDF]
, 2016 Baosh ng Lian, Yanb ng Xu
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