Barrier functions for Pucci-Heisenberg operators and applications - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue International journal of dynamical systems and differential equations Année : 2007

Barrier functions for Pucci-Heisenberg operators and applications

Alessandra Cutri
  • Fonction : Auteur
  • PersonId : 838428

Résumé

The aim of this article is the explicit construction of some barrier functions ("fundamental solutions") for the Pucci-Heisenberg operators. Using these functions we obtain the continuity property, up to the boundary, for the viscosity solution of fully non-linear Dirichlet problems on the Heisenberg group, if the boundary of the domain satisfies some regularity geometrical assumptions (e.g. an exterior Heisenberg-ball condition at the characteristic points). We point out that the knowledge of the fundamental solutions allows also to obtain qualitative properties of Hadamard, Liouville and Harnack type.
Fichier principal
Vignette du fichier
alenicola15FNL.pdf (254.99 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00133624 , version 1 (27-02-2007)

Identifiants

Citer

Alessandra Cutri, Nicoletta Tchou. Barrier functions for Pucci-Heisenberg operators and applications. International journal of dynamical systems and differential equations, 2007, 1 (2), pp.117-131. ⟨hal-00133624⟩
400 Consultations
103 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More