Abstract
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.
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© 2012 Scuola Normale Superiore Pisa
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Giaquinta, M., Martinazzi, L. (2012). A survey of minimal graphs. In: An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs. Publications of the Scuola Normale Superiore. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-443-4_11
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DOI: https://doi.org/10.1007/978-88-7642-443-4_11
Publisher Name: Edizioni della Normale, Pisa
Print ISBN: 978-88-7642-442-7
Online ISBN: 978-88-7642-443-4
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