Results 101 to 110 of about 14,114 (194)
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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Conformal and CR mappings on Carnot groups
, 2018 We consider a class of stratified groups with a CR structure and a compatible control distance. For these Lie groups we show that the space of conformal maps coincide with the space of CR and anti-CR diffeomorphisms.
Cowling, Michael G. +3 more
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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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Journal of Inequalities and ApplicationsWe 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
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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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