Results 1 to 10 of about 223 (28)
Bulletin of Mathematical Sciences, 2016 We prove geometric $L^p$ versions of Hardy's inequality for the sub-elliptic Laplacian on convex domains $\Omega$ in the Heisenberg group $\mathbb{H}^n$, where convex is meant in the Euclidean sense.
AA Balinsky +13 more
core +4 more sources
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
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 +3 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
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
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
Analytic and Gevrey Hypoellipticity for Perturbed Sums of Squares Operators
, 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
The Ginzburg-Landau equation in the Heisenberg group [PDF]
, 2006 We consider a functional related with phase transition models in the Heisenberg group framework. We prove that level sets of local minimizers satisfy some density estimates, that is, they behave as "codimension one" sets.
Birindelli, I., Valdinoci, E.
core +2 more sources
Yamabe-type equations on Carnot groups
, 2016 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
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