Graphs with prescribed the trace of the Levi form

Martino, Vittorio ; Montanari, Annamaria (2005) Graphs with prescribed the trace of the Levi form. [Preprint]
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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
AutoreAffiliazioneORCID
Martino, Vittorio
Montanari, Annamaria
Parole chiave
Levi form, Levi mean curvature, viscosity solutions, quasilinear degenerate elliptic pde's, comparison principle, Lipschitz estimates.
Settori scientifico-disciplinari
DOI
Data di deposito
16 Gen 2006
Ultima modifica
16 Mag 2011 11:55
URI

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