Results 11 to 20 of about 216 (32)

The Parabolic Infinite-Laplace Equation in Carnot groups [PDF]

open access: yes, 2014
By employing a Carnot parabolic maximum principle, we show existence-uniqueness of viscosity solutions to a class of equations modeled on the parabolic infinite Laplace equation in Carnot groups.
Bieske, Thomas, Martin, Erin
core   +2 more sources

Decay estimates for fractional wave equations on H-type groups

open access: yes, 2016
The aim of this paper is to establish the decay estimate for the fractional wave equation semigroup on H-type groups given by $e^{it\Delta^\alpha ...
Song, Manli
core   +2 more sources

Wiener criterion for X-elliptic operators [PDF]

open access: yes, 2014
In this note we prove a Wiener criterion of regularity of boundary points for the Dirichlet problem related to $X$-elliptic operators in divergence form enjoying the doubling condition and the Poincar\'e inequality.
Tralli, Giulio, Uguzzoni, Francesco
core   +3 more sources

A certain critical density property for invariant Harnack inequalities in H-type groups

open access: yes, 2013
We consider second order linear degenerate-elliptic operators which are elliptic with respect to horizontal directions generating a stratified algebra of H-type. Extending a result by Guti\'errez and Tournier for the Heisenberg group, we prove a critical
Tralli, Giulio
core   +1 more source

Starshapedeness for fully-nonlinear equations in Carnot groups [PDF]

open access: yes, 2018
In this paper we establish the starshapedness of the level sets of the capacitary potential of a large class of fully-nonlinear equations for condensers in Carnot groups, once a natural notion of starshapedness has been introduced.
Dragoni, Federica   +2 more
core   +4 more sources

Yamabe-type equations on Carnot groups

open access: yes, 2017
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity.
Bisci, Giovanni Molica   +1 more
core   +1 more source

Strong Comparison Principle For \u3ci\u3ep\u3c/i\u3e-Harmonic Functions In Carnot-Caratheodory Spaces [PDF]

open access: yes, 2018
We extend Bony’s propagation of support argument to C1 solutions of the nonhomogeneous subelliptic p-Laplacian associated to a system of smooth vector fields satisfying Hörmander’s finite rank condition.
Capogna, Luca, Zhou, Xiaodan
core   +2 more sources

Analytic and Gevrey Hypoellipticity for Perturbed Sums of Squares Operators

open access: yes, 2017
We prove a couple of results concerning pseudodifferential perturbations of differential operators being sums of squares of vector fields and satisfying H\"ormander's condition.
A Gilioli   +19 more
core   +1 more source

Characterization and 1H-NMR applications of hexaaza macrocyclic complexes of lanthanides [PDF]

open access: yes, 1989
Samples of PrL(CH3C00)2Cl-nH20 ( L=2,7J3,1S,-tetremethyl- 3,6, 1 4, 1 7,23,24-hexaazatricycloi 1 7.3. 1 .18\u2712] tetracosa-1(23), 2, 6, 8, 10, 12(24), 13, 17, 19, 21-decaene) were tested as lanthanide shift reagents using 1-heptanol, diisopropyl amine ...
DiSano, Mary
core   +1 more source

Geometric Hardy Inequalities on Starshaped Sets [PDF]

open access: yes, 2021
We present geometric Hardy inequalities on starshaped sets in Carnot groups.
Ruzhansky, M, Sabitbek, B, Suragan, D
core  

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