Minimizing functionals depending on surfaces and their curvatures: A class of variational problems in the setting of generalized Gauss graphs (Q1368578)
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scientific article; zbMATH DE number 1067331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimizing functionals depending on surfaces and their curvatures: A class of variational problems in the setting of generalized Gauss graphs |
scientific article; zbMATH DE number 1067331 |
Statements
Minimizing functionals depending on surfaces and their curvatures: A class of variational problems in the setting of generalized Gauss graphs (English)
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6 May 1998
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The paper is devoted to the study of variational problems involving generalized Gauss graphs. This particular class of integral currents is introduced for example in [\textit{S. Delladio}, Boll. Unione Mat. Ital., VII. Ser., B 10, No. 4, 991-1017 (1996; preceding review)]. As a special case the following problem is addressed: given a rectifiable set \(M\), find a mass minimizer among all null boundary generalized Gauss graphs of surfaces which include \(M\) as a subset.
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minimizing currents
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Gauss graphs
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integral currents
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