Schouten Tensor Equations in Conformal Geometry with Prescribed Boundary Metric
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Submission date: 11. Jul. 2003
MSC-Numbers: 53A30, 35J25, 58J32
Keywords and phrases: schouten tensor, fully nonlinear equation, conformal geometry, dirichlet boundary value problem
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On a manifold with boundary, we deform the metric conformally. This induces a deformation of the Schouten tensor. We fix the metric at the boundary and realize a prescribed value for the product of the eigenvalues of the Schouten tensor in the interior, provided that there exists a subsolution.