Results 71 to 80 of about 1,673 (173)
Lipschitz and bilipschitz maps on Carnot groups [PDF]
Pacific 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.
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Schrödinger–Hardy system without the Ambrosetti–Rabinowitz condition on Carnot groups
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we study the following Schrödinger–Hardy system \begin{equation*} \begin{cases} -\Delta_{\mathbb{G}}u-\mu\frac{\psi^2}{r(\xi)^2}u=F_u(\xi,u,v)\ &{\rm in}\ \Omega, \\ -\Delta_{\mathbb{G}}v-\nu\frac{\psi^2 }{r(\xi)^2}v=F_v(\xi,u,v)\
Wenjing Chen, Fang Yu
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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.
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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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Infinite-Dimensional Carnot Groups and Gâteaux Differentiability
The Journal of Geometric Analysis, 2019 The article under review contributes to research based around Rademacher's theorem, which states that a Lipschitz mapping between two Euclidean spaces is differentiable almost everywhere with respect to the Lebesgue measure. More specifically, the article joins a flourishing branch of research which has the broad aim of extending Rademacher's theorem ...
Le Donne E., Li S., Moisala T.
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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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Advanced Nonlinear StudiesOn 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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Learning with computer simulations: a case study on reservoir temperatures in carnot cycles
Investigações em Ensino de CiênciasComputer 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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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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