Barrier functions for Pucci-Heisenberg operators and applications

Details Barrier functions for Pucci-Heisenberg operators and applications Barrier functions for Pucci-Heisenberg operators and applications

2007-02-27

arxiv.org/abs/math/0702818v1

International journal of dynamical systems and differential equations 1, 2 (2007) 117-131

Mathematics

Analysis of PDEs

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Barrier functions for Pucci-Heisenberg operators and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Barrier functions for Pucci-Heisenberg operators and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Barrier functions for Pucci-Heisenberg operators and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207204