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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


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.

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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.

© 2002  Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. All Rights Reserved.
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