Abstract

Based on results of the preceding Chapter 5 and of Chapter 4 in Vol. 2, this chapter is devoted to the study of Plateau’s problem for nonparametric H-surfaces, and both an existence result and (if H=0) a uniqueness theorem are proved. Moreover, basic geometric estimates for nonparametric H-surfaces and a result concerning the removability of singularities are established.KeywordsMinimal SurfaceDirichlet ProblemUnique SolvabilityJordan DomainMinimal GraphThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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