Results 61 to 70 of about 2,760 (185)
On 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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Heart failure is a complex syndrome that is associated with many different underlying risk factors. Here, to increase power, the authors jointly analyse cases of heart failure of different aetiologies in a genome-wide association study and identify 11 ...
Sonia Shah +146 more
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A universal heat semigroup characterisation of Sobolev and BV spaces in Carnot groups [PDF]
Nicola Garofalo, Giulio Tralli
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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
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The Carnot-Carathéodory distance on $2$-step groups [PDF]
Hong-Quan Li
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Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume [PDF]
Kenshiro Tashiro
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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
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MULTIFRACTAL ANALYSIS OF FUNCTIONS ON HEISENBERG AND CARNOT GROUPS [PDF]
Stéphane Seuret, François Vigneron
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Rank-one theorem and subgraphs of BV functions in Carnot groups [PDF]
Sebastiano Don +2 more
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