Barrier functions for Pucci-Heisenberg operators and applications

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dc.creatorCutri, Alessandra
dc.creatorTchou, Nicoletta
dc.date2007-02-27
dc.date.accessioned2026-07-07T09:42:53Z
dc.date.available2026-07-07T09:42:53Z
dc.descriptionThe 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.
dc.identifierhttps://arxiv.org/abs/math/0702818
dc.identifierhttp://arxiv.org/abs/math/0702818
dc.identifierInternational journal of dynamical systems and differential equations 1, 2 (2007) 117-131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162352
dc.subjectAnalysis of PDEs
dc.subject35D10 35G20 35H05 35J25 35J70
dc.titleBarrier functions for Pucci-Heisenberg operators and applications
dc.typetext

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