In this paper we are concerned with the following problems: the problem of characterizing real hypersurfaces in $C^{n+1}$ with some constant Levi curvatures, the Dirichlet problem for the prescribed Levi curvature equation with sharp conditions on the boundary data and the problem of local regularity of viscosity solutions of the prescribed Levi curvature equations.
On a class of geometric PDE's: the prescribed Levi curvature equation / Annamaria Montanari. - In: LECTURE NOTES OF SEMINARIO INTERDISCIPLINARE DI MATEMATICA. - ISSN 2284-0206. - STAMPA. - 7:(2008), pp. 223-235.
On a class of geometric PDE's: the prescribed Levi curvature equation
MONTANARI, ANNAMARIA
2008
Abstract
In this paper we are concerned with the following problems: the problem of characterizing real hypersurfaces in $C^{n+1}$ with some constant Levi curvatures, the Dirichlet problem for the prescribed Levi curvature equation with sharp conditions on the boundary data and the problem of local regularity of viscosity solutions of the prescribed Levi curvature equations.File in questo prodotto:
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