Results 11 to 20 of about 248 (38)

Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators

Advances in Nonlinear Analysis, 2016
We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
doaj   +1 more source

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

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, A Grigis, Antonio Bove, EM Stein, FA Berezin, G Chinni, G Métivier, Gregorio Chinni, J Sjöstrand, L Hörmander, L Hörmander, L Hörmander, L Preiss Rothschild, M Derridj, M Derridj, M Mughetti, N Braun Rodrigues, P Albano, P Albano, P Bolley   +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

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

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, Repovš, Dušan D.   +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

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

Existence results for critical growth Kohn-Laplace equations with jumping nonlinearities

Demonstratio Mathematica
This article is concerned with the existence of nontrivial solutions to critical growth Kohn-Laplace equations with jumping nonlinearities. Or, more specifically, we consider the following Kohn-Laplace problem: −ΔHu=bu+−au−+∣u∣Q∗−2u,inΩ,u=0,on∂Ω,\left ...
An Yu-Cheng, Tian Guai-Qi, An Bi-Jun
doaj   +1 more source