Results 111 to 120 of about 14,687 (238)
Lipschitz and bilipschitz maps on Carnot groups [PDF]
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
MULTIFRACTAL ANALYSIS OF FUNCTIONS ON HEISENBERG AND CARNOT GROUPS [PDF]
Stéphane Seuret, François Vigneron
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Exceptional sets for self-similar fractals in Carnot groups [PDF]
Zoltán M. Balogh +3 more
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Rank-one theorem and subgraphs of BV functions in Carnot groups [PDF]
Sebastiano Don +2 more
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Learning with computer simulations: a case study on reservoir temperatures in carnot cycles
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
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Nonlinear elliptic equations on Carnot groups [PDF]
Massimiliano Ferrara +2 more
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Double ball property: an overview and the case of step two Carnot groups
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
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
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
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The coarea formula for projections of Lipschitz mappings on Carnot groups [PDF]
S. G. Basalaev
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