Results 11 to 20 of about 246 (48)
Subelliptic Bourgain-Brezis Estimates on Groups [PDF]
, 2008 We show that divergence free vector fields which belong to L^1 on stratified, nilpotent groups are in the dual space of functions whose sub-gradient are L^Q integrable where Q is the homogeneous dimension of the group.
Chanillo, Sagun, Van Schaftingen, Jean
core +2 more sources
The Parabolic Infinite-Laplace Equation in Carnot groups [PDF]
, 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
Wiener criterion for X-elliptic operators [PDF]
, 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
Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation [PDF]
, 2012 In this paper, we consider a class of spatially homogeneous Boltzmann equation without angular cutoff.
Glangetas, Léo, Najeme, Mohamed
core +4 more sources
Starshapedeness for fully-nonlinear equations in Carnot groups [PDF]
, 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
Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold [PDF]
, 2012 We establish inequalities for the eigenvalues of the sub-Laplace operator associated with a pseudo-Hermitian structure on a strictly pseudoconvex CR manifold.
Aribi, Amine, Soufi, Ahmad El
core +4 more sources
Decay estimates for fractional wave equations on H-type groups
, 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
Extremal values of the (fractional) Weinstein functional on the hyperbolic space
, 2016 We study Weinstein functionals, first defined in [33], mainly on the hyperbolic space ℍ n
Mukherjee, M.
core +1 more source
Hardy Type Inequalities for $\Delta_\lambda$-Laplacians
, 2015 We derive Hardy type inequalities for a large class of sub-elliptic operators that belong to the class of $\Delta_\lambda$-Laplacians and find explicit values for the constants involved.
Kogoj, A. E., Sonner, S.
core +3 more sources
A certain critical density property for invariant Harnack inequalities in H-type groups
, 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