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
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.
Document type
Preprint
Creators
Keywords
Levi form, Levi mean curvature, viscosity solutions, quasilinear degenerate elliptic pde's, comparison principle, Lipschitz estimates.
Subjects
DOI
Deposit date
16 Jan 2006
Last modified
16 May 2011 11:55
URI
Other metadata
Document type
Preprint
Creators
Keywords
Levi form, Levi mean curvature, viscosity solutions, quasilinear degenerate elliptic pde's, comparison principle, Lipschitz estimates.
Subjects
DOI
Deposit date
16 Jan 2006
Last modified
16 May 2011 11:55
URI
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