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On Two Isoperimetric Problems with Free Boundary Conditions

In: Variational Methods for Free Surface Interfaces

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  • S. Hildebrandt

Abstract

During the last years, free boundary problems for minimal surfaces have found much attention. Beautiful new existence results were discovered by Struwe [25], Grüter—Jost [11], and Jost [19]. The question of boundary regularity was discussed by Hildebrandt—Nitsche [14], [15], [16], [17], Grüter—Hildebrandt—Nitsche [9], Dziuk [3], [4], Küster [20], and Ye [26]. Various regularity theorems are optimal, although several questions are still open. A survey of some of these results can be found in [12].

Suggested Citation

  • S. Hildebrandt, 1987. "On Two Isoperimetric Problems with Free Boundary Conditions," Springer Books, in: Paul Concus & Robert Finn (ed.), Variational Methods for Free Surface Interfaces, pages 43-51, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4656-5_5
    DOI: 10.1007/978-1-4612-4656-5_5
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