Non hypoellipticité analytique pour des opérateurs à caractéristiques doubles
Non hypoellipticité des opérateurs différentiels du type de Fuchs
Non hypoellipticité d'opérateurs elliptiques singuliers
Nonlinear equations on Carnot groups and curvature problems for CR manifolds
We give a short overview of sub-Laplacians on Carnot groups starting from a result by Caccioppoli dated 1934. Then we show that sub-Laplacians on Carnot groups of step one arise in studying curvature problems for manifolds. We restrict our presentation to the cases of the Webster-Tanaka curvature problem for the sphere and of the Levi-curvature equation for strictly pseudoconvex functions.
Nonlinear subelliptic Schrödinger equations with external magnetic field.
On degenerate elliptic operators of infinite type.
On global hypoellipticity of vector fields
On hypoelliptic operators with double characteristics
On hypoellipticity in .
On hypoellipticity in g
On local and global analytic and Gevrey hypoellipticity
On local properties of some classes of infinitely degenerate elliptic differential operators.
On multiquasielliptic equations in .
On the Eigenvalue of a Class of Hypoelliptic Operators.
On the existence of positive solutions of Yamabe-type equations on the Heisenberg group.
On the Functional Dimension of Solution Spaces of Hypoelliptic Partial Differential Operators.
On the Gevrey analyticity of solutions of semilinear perturbations of powers of the Mizohata operator.
On the Gevrey hypo-ellipticity of sums of squares of vector fields
The article studies a second-order linear differential operator of the type
On the second order derivatives of convex functions on the Heisenberg group
In the euclidean setting the celebrated Aleksandrov-Busemann-Feller theorem states that convex functions are a.e. twice differentiable. In this paper we prove that a similar result holds in the Heisenberg group, by showing that every continuous –convex function belongs to the class of functions whose second order horizontal distributional derivatives are Radon measures. Together with a recent result by Ambrosio and Magnani, this proves the existence a.e. of second order horizontal derivatives for...
One dimensional symmetry in the Heisenberg group