The aim of this Note is to state some continuity property, up to the boundary, for viscosity solutions to fully nonlinear Dirichlet problems on the Heisenberg group and to obtain qualitative properties of the Hadamard, Liouville and Harnack type. For this purpose, a key ingredient is the construction of some barrier functions for the Pucci-Heisenberg operators.
Cutri', A., Tchou, N. (2007). Fully nonlinear degenerate operators associated with the Heisenberg group: barrier functions and qualitative properties. COMPTES RENDUS MATHÉMATIQUE, 344(9), 559-563 [10.1016/j.crma.2007.03.003].
Fully nonlinear degenerate operators associated with the Heisenberg group: barrier functions and qualitative properties
CUTRI', ALESSANDRA;
2007-01-01
Abstract
The aim of this Note is to state some continuity property, up to the boundary, for viscosity solutions to fully nonlinear Dirichlet problems on the Heisenberg group and to obtain qualitative properties of the Hadamard, Liouville and Harnack type. For this purpose, a key ingredient is the construction of some barrier functions for the Pucci-Heisenberg operators.File in questo prodotto:
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