Geodesic
On removability of singularities on manifolds for solutions of non-linear
Sbornik. Mathematics, Tome 194 (2003) no. 9, pp. 1361-1381 
I. I. Skrypnik. On removability of singularities on manifolds for solutions of non-linear. Sbornik. Mathematics, Tome 194 (2003) no. 9, pp. 1361-1381. http://geodesic.mathdoc.fr/item/SM_2003_194_9_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A precise condition is found for the removability of a singularity on a smooth manifold for solutions of non-linear second-order elliptic equations of divergence form. The condition is stated in the form of a dependence of the pointwise behaviour of the solution on the distance to the singular manifold. The condition obtained is weaker than Serrin's well-known sufficient condition for the removability of a singularity on a manifold.

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