Results 111 to 120 of about 14,687 (238)

Lipschitz and bilipschitz maps on Carnot groups [PDF]

open access: yesPacific 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.
openaire   +2 more sources

Exceptional sets for self-similar fractals in Carnot groups [PDF]

open access: bronze, 2010
Zoltán M. Balogh   +3 more
openalex   +1 more source

Rank-one theorem and subgraphs of BV functions in Carnot groups [PDF]

open access: green, 2017
Sebastiano Don   +2 more
openalex   +1 more source

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

open access: yesInvestigações 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   +2 more
doaj   +1 more source

Nonlinear elliptic equations on Carnot groups [PDF]

open access: green, 2016
Massimiliano Ferrara   +2 more
openalex   +1 more source

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

open access: yesBruno 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  

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

open access: yesElectronic 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  

Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

open access: yesAnalysis 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

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