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Branch Pointsibited which furnish bounds for the index of interior and boundary branch points. These estimates supplement the bounds on the order of branch points provided by the Gauss–Bonnet theorem..A special role in all of this is played by the . discovered by Böhme and Tromba, which will again show up in the global theory presented in Vol. 3.Resign 发表于 2025-3-22 00:44:38
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Enclosure and Existence Theorems for Minimal Surfaces and ,-Surfaces. Isoperimetric Inequalitiesns are the fundament for results ensuring the existence of minimal surfaces and .-surfaces solving Plateau’s problem in Euclidean space or in a Riemannian manifold respectively. Of particular interest in this context are ...In addition, . for minimal surfaces solving either Plateau’s problem or a free boundary problem are derived.精确 发表于 2025-3-22 12:41:55
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0072-7830 -includes a new approach to the Osserman-Gulliver-Alt theoreRegularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied.agglomerate 发表于 2025-3-22 23:48:59
Minimal Surfaces with Free Boundariesg the direct methods of the calculus of variations, thus establishing the existence of minimizers with a boundary on a given supporting surface .. However, this method does not yield the existence of stationary minimal surfaces which are not area minimizing. The remaining part of the chapter deals wCorral 发表于 2025-3-23 01:30:50
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Singular Boundary Points of Minimal Surfacesis problem is the . which yields asymptotic expansions for complex-valued solutions .(.) of a differential inequality . at the center .=0 of a disk ..(0)={.∈ℂ:|.|<.}, and more general, of expansions for vector-valued solutions .(.) of a differential inequality . Such expansions are used in the prece