Article

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


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
    4 0 0 0


Comptes Rendus Mathématique
Volume 341, n° 4
pages 239-242 (août 2005)
Doi : 10.1016/j.crma.2005.06.036
Received : 9 June 2005 ;  accepted : 25 June 2005
Une méthode des sur et sous solutions améliorée
An improved upper and lower solutions method
 

Philippe Delanoë 1
Université de Nice-Sophia Antipolis, laboratoire J.-A. Dieudonné, parc Valrose, 06108 Nice cedex 2, France 

Résumé

Lʼhabituelle méthode des sur et sous solutions, pour résoudre une équation non-linéaire elliptique du second ordre, est itérative, ce qui complique, parfois jusquʼà la rendre impossible, lʼindispensable estimation uniforme  , à cause de la présence simultanée de deux inconnues successives de lʼitération dans la même équation. Nous présentons ici une méthode dépourvue de cet inconvénient, basée sur un argument de point fixe élémentaire. Pour citer cet article : P. Delanoë, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.
Abstract

The usual upper and lower solutions method for solving a second order nonlinear elliptic equation is iterative, with the drawback of a tricky, if not sometimes impossible, derivation of the (quite essential) uniform   estimate, due to the occurence in the same equation of two successive iteration unknowns. We present here a method free of such a drawback, based on an elementary fixed point argument. To cite this article: P. Delanoë, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.
1  Supported by the CNRS.


© 2005  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 You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.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.
Close
Article Outline
You can move this window by clicking on the headline
@@#110903@@