Results 91 to 100 of about 5,405,878 (192)

Multiple solutions for possibly degenerate equations in divergence form

Electronic Journal of Differential Equations, 2016
Via variational methods, we establish the existence of at least two distinct weak solutions for the Dirichlet problem associated to a possibly degenerate equation in divergence form.
Andrea Pinamonti
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Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups

Bruno Pini Mathematical Analysis Seminar, 2010
Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the results recently obtained in [32] and, in particular, an intrinsic isoperimetric inequality for a C2-smooth compact hypersurface S with boundary @S.
Francesco Paolo Montefalcone
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Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

Advanced 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
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Capacity and perimeter from logarithmic fractional Sobolev spaces on Carnot groups

Advances in Nonlinear Analysis
In this paper, we introduce the logarithmic fractional Sobolev space on Carnot groups and investigate the various functional-geometric aspects of the corresponding functional capacity.
Zhao Nan, Liu Yu
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A metric boundary theory for Carnot groups [PDF]

In this paper, we study characteristics of horofunction boundaries of Carnot groups. In particular, we show that for Carnot groups, i.e., stratified nilpotent Lie groups equipped with certain left-invariant homogeneous metrics, all horofunctions are ...
Fisher, Nate
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A remark on quasiconformal mappings on Carnot groups.

Michigan Mathematical Journal, 1994
A. Koranyi and M. Reimann informed me that a result of theirs on the theory of quasiconformal mappings on the Heisenberg groups contradicted inequality (20.17) in my monograph [Strong rigidity of locally symmetric spaces, Ann. Math. Studies, No.
openaire   +3 more sources

Global contact and quasiconformal mappings of carnot groups [PDF]

, 2015
We show that globally defined quasiconformal mappings of rigid Carnot groups are affine, but that globally defined contact mappings of rigid Carnot groups need not be quasiconformal, and a fortiori not ...
Cowling, MG ; https://orcid.org/, Ottazzi, A ; https://orcid.org/   +1 more
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Learning with computer simulations: a case study on reservoir temperatures in carnot cycles

Investigações 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, Laura María Buteler, Enrique Andres Coleoni   +2 more
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Sharp measure contraction property for generalized H-type Carnot groups

, 2018
International audienceWe prove that H-type Carnot groups of rank k and dimension n satisfy the MCP(K, N) if and only if K ≤ 0 and N ≥ k + 3(n − k). The latter integer coincides with the geodesic dimension of the Carnot group.
Rizzi, L., Barilari D., Barilari, Davide, Rizzi L., Rizzi, Luca, Barilari, D., Davide Barilari, Luca Rizzi   +7 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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