Results 61 to 70 of about 2,760 (185)

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

open access: yesAdvanced Nonlinear Studies
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
doaj   +1 more source

Genome-wide association and Mendelian randomisation analysis provide insights into the pathogenesis of heart failure

open access: yesNature Communications, 2020
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
doaj   +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  

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

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

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