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The Gauss-Green theorem and removable sets for PDEs in divergence form |
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| Authors: | Thierry De Pauw Washek F. Pfeffer |
| Affiliation: | a Equipe d'analyse harmonique, Université de Paris-Sud, Batiment 425, F-91405 Orsay Cedex, France b Department of Mathematics, University of California, Davis, CA 95616, USA |
| Abstract: | Applying a very general Gauss-Green theorem established for the generalized Riemann integral, we obtain simple proofs of new results about removable sets of singularities for the Laplace and minimal surface equations. We treat simultaneously singularities with respect to differentiability and continuity. |
| Keywords: | primary 26B20 35D99 |
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