Boundary value problems for surfaces of constant Gauss Curvature
โ Scribed by David Hoffman; Harold Rosenberg; Joel Spruck
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 530 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A K-surface is a surface whose Gauss curvature K is a positive constant. In this article, we will consider K-surfaces that are defined by a nonlinear boundary value problem. In this setting, existence follows from some recent results on nonlinear second-order elliptic partial differential equations.
The image of the Poisson transform on a principal series representations on a boundary component of a Hermitian symmetric space is considered. We prove that the image is characterized by a covariant differential operator on a homogeneous line bundle on the symmetric space.