Results 81 to 90 of about 1,589 (178)
Advanced Nonlinear StudiesOn general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
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Lipschitz and bilipschitz maps on Carnot groups [PDF]
Pacific Journal of Mathematics, 2013 Suppose A is an open subset of a Carnot group G, where G has a discrete analogue, and H is another Carnot group. We show that a Lipschitz function from A to H whose image has positive Hausdorff measure in the appropriate dimension is biLipschitz on a subset of A of positive Hausdorff measure.
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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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Isodiametric inequality in Carnot groups
Annales Academiae Scientiarum Fennicae Mathematica, 2011 The classical isodiametric inequality in the Euclidean space says that balls maximize the volume among all sets with a given diameter. We consider in this paper the case of Carnot groups. We prove that for any Carnot group equipped with a Haar measure one can find a homogeneous distance for which this fails to hold. We also consider Carnot-Caratheodory
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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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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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Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces
Analysis and Geometry in Metric SpacesGiven 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
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International Journal of Nanomedicine, 2017 Céline Mirjolet,1 Julien Boudon,2 Alexis Loiseau,2 Sandy Chevrier,1 Romain Boidot,1 Alexandra Oudot,3 Bertrand Collin,3 Etienne Martin,1 Pattayil Alias Joy,4 Nadine Millot,2 Gilles Créhange1 1Department of Radiation Oncology, Center ...
C Mirjolet +10 more
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H-convergence for equations depending on monotone operators in Carnot groups
Electronic Journal of Differential Equations, 2021 Alberto Maione
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