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On the existence of minimal surfaces with singular boundaries |
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| Authors: | Howard Iseri |
| Affiliation: | Department of Mathematics and Computer Information Science, Mansfield University, Mansfield, Pennsylvania 16933 |
| Abstract: | In 1931, Jesse Douglas showed that in  , every set of  rectifiable Jordan curves, with  , bounds an area-minimizing minimal surface with prescribed topological type if a ``condition of cohesion' is satisfied. In this paper, it is established that under similar conditions, this result can be extended to non-Jordan curves. |
| Keywords: | Plateau's problem minimal surfaces singular boundary curves Douglas condition condition of cohesion condition of adhesion |
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