Affine Bernstein problems and Monge-Ampère equations:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New Jersey
World Scientific
©2010
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 173-177) and index Basic tools -- Local equiaffine hypersurfaces -- Local relative hypersurfaces -- The theorem of Jörgens-Calabi-Pogorelov -- Affine maximal hypersurfaces -- Hypersurfaces with constant affine mean curvature In this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It is well-known that many geometric problems in analytic formulation lead to important classes of PDEs. The focus of this monograph is on variational problems and higher order PDEs for affine hypersurfaces. Affine maximal hypersurfaces are extremals of the interior variation of the affinely invariant volume. The corresponding Euler-Lagrange equation is a highly complicated nonlinear fourth order PDE. In recent years, the global study of such fourth order PDEs has received con |
| Beschreibung: | 1 Online-Ressource (xii, 180 pages) |
| ISBN: | 9789812814166 9789812814173 9812814167 9812814175 |
Internformat
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| 500 | |a Includes bibliographical references (pages 173-177) and index | ||
| 500 | |a Basic tools -- Local equiaffine hypersurfaces -- Local relative hypersurfaces -- The theorem of Jörgens-Calabi-Pogorelov -- Affine maximal hypersurfaces -- Hypersurfaces with constant affine mean curvature | ||
| 500 | |a In this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It is well-known that many geometric problems in analytic formulation lead to important classes of PDEs. The focus of this monograph is on variational problems and higher order PDEs for affine hypersurfaces. Affine maximal hypersurfaces are extremals of the interior variation of the affinely invariant volume. The corresponding Euler-Lagrange equation is a highly complicated nonlinear fourth order PDE. In recent years, the global study of such fourth order PDEs has received con | ||
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043136980 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:34Z |
| institution | BVB |
| isbn | 9789812814166 9789812814173 9812814167 9812814175 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028561171 |
| oclc_num | 670429445 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xii, 180 pages) |
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| publishDate | 2010 |
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| publisher | World Scientific |
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| spelling | Affine Bernstein problems and Monge-Ampère equations An-Min Li [and others] New Jersey World Scientific ©2010 1 Online-Ressource (xii, 180 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 173-177) and index Basic tools -- Local equiaffine hypersurfaces -- Local relative hypersurfaces -- The theorem of Jörgens-Calabi-Pogorelov -- Affine maximal hypersurfaces -- Hypersurfaces with constant affine mean curvature In this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It is well-known that many geometric problems in analytic formulation lead to important classes of PDEs. The focus of this monograph is on variational problems and higher order PDEs for affine hypersurfaces. Affine maximal hypersurfaces are extremals of the interior variation of the affinely invariant volume. The corresponding Euler-Lagrange equation is a highly complicated nonlinear fourth order PDE. In recent years, the global study of such fourth order PDEs has received con Mathematics MATHEMATICS / Geometry / Differential bisacsh Mathematik Affine differential geometry Monge-Ampère equations Globale Differentialgeometrie (DE-588)4021286-5 gnd rswk-swf Monge-Ampère-Differentialgleichung (DE-588)4253327-2 gnd rswk-swf Monge-Ampère-Differentialgleichung (DE-588)4253327-2 s Globale Differentialgeometrie (DE-588)4021286-5 s 1\p DE-604 Li, An-Min Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340794 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Affine Bernstein problems and Monge-Ampère equations Mathematics MATHEMATICS / Geometry / Differential bisacsh Mathematik Affine differential geometry Monge-Ampère equations Globale Differentialgeometrie (DE-588)4021286-5 gnd Monge-Ampère-Differentialgleichung (DE-588)4253327-2 gnd |
| subject_GND | (DE-588)4021286-5 (DE-588)4253327-2 |
| title | Affine Bernstein problems and Monge-Ampère equations |
| title_auth | Affine Bernstein problems and Monge-Ampère equations |
| title_exact_search | Affine Bernstein problems and Monge-Ampère equations |
| title_full | Affine Bernstein problems and Monge-Ampère equations An-Min Li [and others] |
| title_fullStr | Affine Bernstein problems and Monge-Ampère equations An-Min Li [and others] |
| title_full_unstemmed | Affine Bernstein problems and Monge-Ampère equations An-Min Li [and others] |
| title_short | Affine Bernstein problems and Monge-Ampère equations |
| title_sort | affine bernstein problems and monge ampere equations |
| topic | Mathematics MATHEMATICS / Geometry / Differential bisacsh Mathematik Affine differential geometry Monge-Ampère equations Globale Differentialgeometrie (DE-588)4021286-5 gnd Monge-Ampère-Differentialgleichung (DE-588)4253327-2 gnd |
| topic_facet | Mathematics MATHEMATICS / Geometry / Differential Mathematik Affine differential geometry Monge-Ampère equations Globale Differentialgeometrie Monge-Ampère-Differentialgleichung |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340794 |
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