Graphs with prescribed the trace of the Levi form

Martino, Vittorio ; Montanari, Annamaria (2005) Graphs with prescribed the trace of the Levi form. [Preprint]

Salva citazione

Citato da

Full text disponibile come:

[thumbnail of Martino_Montanari_preprint.pdf]

Anteprima

Documento PDF
Download (258kB) | Anteprima

Abstract

We prove existence and uniqueness of a viscosity solution of the Dirichlet problem related to the prescribed Levi mean curvature equation, under suitable assumptions on the boundary data and on the Levi curvature of the domain. We also show that such a solution is Lipschitz continuous by proving that it is the uniform limit of a sequence of classical solutions of elliptic problems and by building Lipschitz continuous barriers.

Abstract

Tipologia del documento

Preprint

Autori