Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614788 | Journal of Mathematical Analysis and Applications | 2016 | 21 Pages |
Abstract
We establish a Liouville-type theorem for a subcritical nonlinear problem, involving a fractional power of the sub-Laplacian in the Heisenberg group. To prove our result we will use the local realization of fractional CR covariant operators, which can be constructed as the Dirichlet-to-Neumann operator of a degenerate elliptic equation in the spirit of Caffarelli and Silvestre [8], as established in [15]. The main tools in our proof are the CR inversion and the moving plane method, applied to the solution of the lifted problem in the half-space Hn×R+Hn×R+.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Eleonora Cinti, Jinggang Tan,