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Regularity of
solutions to elliptic isoperimetric problems
Harold Raymond Parks |
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Vol. 113 (1984), No. 2, 463–470
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Abstract |
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In an earlier paper by the author, the existence theory for solutions of elliptic isoperimetric problems was developed in the context of rectifiable and integral currents. The regularity problem for solutions of those isoperimetric problems was essentially left open. Examples were given to show that, in certain cases, regularity may be totally absent. In this note we derive positive regularity results for solutions of elliptic isoperimetric problems. |
Mathematical Subject Classification 2000
Primary: 49F22, 49F22
Secondary: 35J60
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Milestones
Received: 15 September 1982
Published: 1 August 1984
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Authors |
| Harold Raymond Parks | |
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