[Sur les solutions un-homogènes des systèmes elliptiques en dimension deux]
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.
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.
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@article{CRMATH_2002__335_1_39_0,
author = {Phillips, Daniel},
title = {On one-homogeneous solutions to elliptic systems in two dimensions},
journal = {Comptes Rendus. Math\'ematique},
pages = {39--42},
publisher = {Elsevier},
volume = {335},
number = {1},
year = {2002},
doi = {10.1016/S1631-073X(02)02418-4},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02418-4/}
}
TY - JOUR AU - Phillips, Daniel TI - On one-homogeneous solutions to elliptic systems in two dimensions JO - Comptes Rendus. Mathématique PY - 2002 SP - 39 EP - 42 VL - 335 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02418-4/ DO - 10.1016/S1631-073X(02)02418-4 LA - en ID - CRMATH_2002__335_1_39_0 ER -
%0 Journal Article %A Phillips, Daniel %T On one-homogeneous solutions to elliptic systems in two dimensions %J Comptes Rendus. Mathématique %D 2002 %P 39-42 %V 335 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02418-4/ %R 10.1016/S1631-073X(02)02418-4 %G en %F CRMATH_2002__335_1_39_0
Phillips, Daniel. On one-homogeneous solutions to elliptic systems in two dimensions. Comptes Rendus. Mathématique, Tome 335 (2002) no. 1, pp. 39-42. doi : 10.1016/S1631-073X(02)02418-4. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02418-4/
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