On removability of singularities on manifolds for solutions of non-linear elliptic equations
Journal Article
·
· Sbornik. Mathematics
- Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Donetsk (Ukraine)
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.
- OSTI ID:
- 21208351
- Journal Information:
- Sbornik. Mathematics, Vol. 194, Issue 9; Other Information: DOI: 10.1070/SM2003v194n09ABEH000768; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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