Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    6 0 0 0

Comptes Rendus Mathématique
Volume 338, n° 1
pages 13-18 (janvier 2004)
Doi : 10.1016/j.crma.2003.10.037
Received : 26 October 2003 ; 
Régularité du rayon hyperbolique
Smoothness of hyperbolic radius

Satyanad  Kichenassamy
Laboratoire de mathématiques (UMR 6056), CNRS & Université de Reims Champagne-Ardenne, Moulin de la Housse, BP 1039, 51687 Reims cedex 2, France 


Soit   un domaine borné de classe  . On montre que si   est la solution maximale de  , qui tend vers   si  , alors le rayon hyperbolique   est de classe   jusqu'au bord. La démonstration repose sur de nouvelles estimations de Schauder pour des équations fuchsiennes elliptiques. Pour citer cet article : S. Kichenassamy, C. R. Acad. Sci. Paris, Ser. I 338 (2004).


Let   be a bounded domain of class  . We show that if   is the maximal solution of  , which tends to   as  , then the hyperbolic radius   is of class   up to the boundary. The proof relies on new Schauder estimates for Fuchsian elliptic equations. To cite this article: S. Kichenassamy, C. R. Acad. Sci. Paris, Ser. I 338 (2004).

© 2003  Académie des sciences@@#104156@@

EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline