A survey of minimal graphs

Mariano Giaquinta, Luca Martinazzi · Scuola Normale Superiore eBooks · 2012

In this chapter we shall discuss minimal graphs, i.e. graphs whose area has vanishing first variation. After introducing the variational equations, we shall work on the existence of minimal graphs with prescribed boundary (Plateau problem), their uniqueness, stability and regularity in codimension 1. These 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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