Minimal Surfaces and Functions of Bounded Variation:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1984
|
| Schriftenreihe: | Monographs in Mathematics
80 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4684-9486-0 |
| Beschreibung: | The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after the foundation of the calculus of variations, and is one which received a satis factory solution only in recent years. Called the problem of Plateau, after the blind physicist who did beautiful experiments with soap films and bubbles, it has resisted the efforts of many mathematicians for more than a century. It was only in the thirties that a solution was given to the problem of Plateau in 3-dimensional Euclidean space, with the papers of Douglas [DJ] and Rado [R T1, 2]. The methods of Douglas and Rado were developed and extended in 3-dimensions by several authors, but none of the results was shown to hold even for minimal hypersurfaces in higher dimension, let alone surfaces of higher dimension and codimension. It was not until thirty years later that the problem of Plateau was successfully attacked in its full generality, by several authors using measure-theoretic methods; in particular see De Giorgi [DG1, 2, 4, 5], Reifenberg [RE], Federer and Fleming [FF] and Almgren [AF1, 2]. Federer and Fleming defined a k-dimensional surface in IR" as a k-current, i. e. a continuous linear functional on k-forms. Their method is treated in full detail in the splendid book of Federer [FH 1] |
| Umfang: | 1 Online-Ressource (XII, 240 p) |
| ISBN: | 9781468494860 9780817631536 |
| DOI: | 10.1007/978-1-4684-9486-0 |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2068241 |
|---|---|
| _version_ | 1821931217202708482 |
| any_adam_object | |
| author | Giusti, Enrico |
| author_facet | Giusti, Enrico |
| author_role | aut |
| author_sort | Giusti, Enrico |
| author_variant | e g eg |
| building | Verbundindex |
| bvnumber | BV042421232 |
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| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863956136 (DE-599)BVBBV042421232 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-9486-0 |
| format | Electronic eBook |
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| id | DE-604.BV042421232 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:44Z |
| institution | BVB |
| isbn | 9781468494860 9780817631536 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856649 |
| oclc_num | 863956136 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 240 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| series2 | Monographs in Mathematics |
| spellingShingle | Giusti, Enrico Minimal Surfaces and Functions of Bounded Variation Mathematics Geometry Mathematik Grenzwertberechnung (DE-588)4158161-1 gnd Minimierung (DE-588)4251074-0 gnd Minimalfläche (DE-588)4127814-8 gnd Oberfläche (DE-588)4042907-6 gnd Funktion von beschränkter Variation (DE-588)4155666-5 gnd |
| subject_GND | (DE-588)4158161-1 (DE-588)4251074-0 (DE-588)4127814-8 (DE-588)4042907-6 (DE-588)4155666-5 |
| title | Minimal Surfaces and Functions of Bounded Variation |
| title_auth | Minimal Surfaces and Functions of Bounded Variation |
| title_exact_search | Minimal Surfaces and Functions of Bounded Variation |
| title_full | Minimal Surfaces and Functions of Bounded Variation by Enrico Giusti |
| title_fullStr | Minimal Surfaces and Functions of Bounded Variation by Enrico Giusti |
| title_full_unstemmed | Minimal Surfaces and Functions of Bounded Variation by Enrico Giusti |
| title_short | Minimal Surfaces and Functions of Bounded Variation |
| title_sort | minimal surfaces and functions of bounded variation |
| topic | Mathematics Geometry Mathematik Grenzwertberechnung (DE-588)4158161-1 gnd Minimierung (DE-588)4251074-0 gnd Minimalfläche (DE-588)4127814-8 gnd Oberfläche (DE-588)4042907-6 gnd Funktion von beschränkter Variation (DE-588)4155666-5 gnd |
| topic_facet | Mathematics Geometry Mathematik Grenzwertberechnung Minimierung Minimalfläche Oberfläche Funktion von beschränkter Variation |
| url | https://doi.org/10.1007/978-1-4684-9486-0 |
| work_keys_str_mv | AT giustienrico minimalsurfacesandfunctionsofboundedvariation |