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 345, n° 8
pages 441-444 (octobre 2007)
Doi : 10.1016/j.crma.2007.09.004
Received : 23 May 2007 ;  accepted : 12 September 2007
Degenerate anisotropic variational inequalities with  -data
Inéquations variationnelles dégénérescents anisotropes avec données dans  
 

Alexander A. Kovalevsky a, 1 , Yuliya S. Gorban b
a Institute of Applied Mathematics and Mechanics, Rosa Luxemburg St. 74, 83114 Donetsk, Ukraine 
b Donetsk National University, Universitetskaya St. 24, 83055 Donetsk, Ukraine 

Abstract

In this Note we introduce notions of T -solution and shift T -solution of variational inequalities corresponding to a nonlinear degenerate anisotropic elliptic operator, a set of constraints of a sufficiently large class and an  -right-hand side. We give theorems on the existence, uniqueness and properties of these solutions and describe their relation with solutions of variational inequalities in usual sense. To cite this article: A.A. Kovalevsky, Y.S. Gorban, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

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

Dans cette Note nous introduisons les notions de T -solution et T -solution translatante des inéquations variationnelles correspondant à un opérateur non linéair dégénérescent anisotrope elliptique, un ensemble de contraintes dʼune classe suffisament large et le second membre dans  . Nous donnons les théorèmes dʼexistence, dʼunicité et de propriétées de ces solutions et décrivons leur relation avec solutions des inéquations variationnelles au sens ordinaire. Pour citer cet article : A.A. Kovalevsky, Y.S. Gorban, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

The full text of this article is available in PDF format.
1  Partly supported by INTAS Project No. 05-1000008-7921.


© 2007  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@@