Results 131 to 140 of about 12,282,130 (266)
Chaotic Geodesics in Carnot Groups
, 1997 The group of real 4 by 4 upper triangular matrices with 1s on the diagonal has a left-invariant subRiemannian (or Carnot-Caratheodory) structure whose underlying distribution corresponds to the superdiagonal. We prove that the associated subRiemannian geodesic flow is not completely integrable.
Montgomery, R., Shapiro, M., Stolin, A.
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A note on the engulfing property and the $\Gamma ^{1+ \alpha }$-regularity of convex functions in Carnot groups [PDF]
, 2006 Luca Capogna, Diego Maldonado
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Existence of infinitely many solutions for critical sub-elliptic systems via genus theory
Communications in Analysis and MechanicsWe are devoted to the study of the following sub-Laplacian system with Hardy-type potentials and critical nonlinearities $ \begin{equation*} \left\{\begin{aligned} -\Delta_{\mathbb{G}}u-\mu_{1}\frac{\psi^{2}u}{\text{d}(z)^{2}} = \lambda_{1}\frac{\psi^{
Hongying Jiao, Shuhai Zhu , Jinguo Zhang
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The Hardy inequality and nonlinear parabolic equations on Carnot groups [PDF]
, 2007 Jerome A. Goldstein, İsmail Kömbe
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Sub-Riemannian calculus on hypersurfaces in Carnot groups [PDF]
, 2007 Donatella Danielli +2 more
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Sharp weighted Hardy type inequalities and Hardy–Sobolev type inequalities on polarizable Carnot groups [PDF]
, 2008 Jialin Wang, Pengcheng Niu
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Primitives of volume forms in Carnot groups
Rendiconti Lincei, Matematica e ApplicazioniIn the Euclidean space, it is known that a function f\in L^{2} of a ball, with vanishing average, is the divergence of a vector field F\in L^{2} with \|F\|_{L^2(B)}\le C\|f\|_{L^2(B)}
Baldi, Annalisa +2 more
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Roadmap on specialty optical fibers
JPhys PhotonicsOptical fibers, long an enabling technology for telecommunications, are proving to play a central role in a growing number of modern applications, starting from high speed broad band internet to medical surgery and entering across the entire spectrum of ...
Mário F S Ferreira +22 more
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Lipschitz extensions into Jet space Carnot groups [PDF]
, 2010 Stefan Wenger, Robert M. Young
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Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
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