Schouten tensor equations in conformal geometry with prescribed boundary metric
| dc.contributor.author | Schnurer, Oliver C. | |
| dc.date.accessioned | 2021-05-28T20:06:45Z | |
| dc.date.available | 2021-05-28T20:06:45Z | |
| dc.date.issued | 2005-07-15 | |
| dc.description.abstract | 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-Ampere equation with gradient terms. The main issue is to obtain a priori estimates for the second derivatives near the boundary. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Schnürer, O. C. (2005). Schouten tensor equations in conformal geometry with prescribed boundary metric. <i>Electronic Journal of Differential Equations, 2005</i>(81), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13682 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Schouten tensor | |
| dc.subject | Fully nonlinear equation | |
| dc.subject | Conformal geometry | |
| dc.subject | Dirichlet boundary value problem | |
| dc.title | Schouten tensor equations in conformal geometry with prescribed boundary metric | |
| dc.type | Article |