Schouten tensor equations in conformal geometry with prescribed boundary metric

Schnürer, Oliver C.

Schouten tensor equations in conformal geometry with prescribed boundary metric

Dateien

Schnuerer_2-bg0bpg5ko7ny0.pdfGröße: 306.91 KBDownloads: 129

Datum

2005

Open Access-Veröffentlichung

Open Access Gold

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Schouten tensor; fully nonlinear equation; conformal geometry; Dirichlet boundary value problem

Zitieren

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 1072-6691

BibTex

@article{Schnurer2005Schou-41193,
  year={2005},
  title={Schouten tensor equations in conformal geometry with prescribed boundary metric},
  url={https://eudml.org/doc/125235},
  journal={Electronic Journal of Differential Equations (EJDE)},
  author={Schnürer, Oliver C.},
  note={Article Number: 81}
}

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URL der Originalveröffentl.

https://eudml.org/doc/125235

Prüfdatum der URL

2018-01-15

Universitätsbibliographie

Nein