Publikation: Schouten tensor equations in conformal geometry with prescribed boundary metric
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2005
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Published
Erschienen in
Electronic Journal of Differential Equations (EJDE), 81. eISSN 1072-6691
Zusammenfassung
We deform the metric conformally on a manifold with boundary. 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. This problem reduces to a Monge-Amp`ere equation with gradient terms. The main issue is to obtain a priori estimates for the second derivatives near the boundary.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Schouten tensor; fully nonlinear equation; conformal geometry; Dirichlet boundary value problem
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undefined / . - undefined, undefined
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ISO 690
SCHNÜRER, Oliver C., 2005. Schouten tensor equations in conformal geometry with prescribed boundary metric. In: Electronic Journal of Differential Equations (EJDE), 81. eISSN 1072-6691BibTex
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2018-01-15
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