On Two Isoperimetric Problems with Free Boundary Conditions

S. Hildebrandt

A chapter in Variational Methods for Free Surface Interfaces, 1987, pp 43-51 from Springer

Abstract: 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].

Keywords: Free Boundary; Minimal Surface; Convex Body; Free Boundary Problem; Partition Problem (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-1-4612-4656-5_5

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