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Comptes Rendus Mathématique
Volume 335, n° 1
pages 39-42 (2002)
Doi : S1631-073X(02)02418-4
Received : 11 April 2002 ;  accepted : 17 April 2002
On one-homogeneous solutions to elliptic systems in two dimensions
Sur les solutions un-homogènes des systèmes elliptiques en dimension deux
 

Daniel Phillips
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA 

Note presented by John M. Ball

Abstract

In this Note we consider a class of nonlinear second order elliptic systems in divergence form and two independent variables. We prove that all Lipschitz continuous one-homogeneous weak solutions are linear. To cite this article: D. Phillips, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 39-42.

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

Dans cette Note, nous considérons une classe de systèmes d'équations elliptiques non linéaires du second ordre sous forme divergence à deux variables indépendantes. Nous prouvons que toutes les solutions faibles un-homogènes et Lipschitz continues sont linéaires. Pour citer cet article : D. Phillips, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 39-42.

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


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