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.
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.
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Daniel Phillips 1
@article{CRMATH_2002__335_1_39_0, author = {Daniel Phillips}, 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}, }
Daniel Phillips. On one-homogeneous solutions to elliptic systems in two dimensions. Comptes Rendus. Mathématique, Volume 335 (2002) no. 1, pp. 39-42. doi : 10.1016/S1631-073X(02)02418-4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02418-4/
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