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Geometric Measure Theory and Minimal Surfaces

著者: Enrico Bombieri; E Bombieri
出版商: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
丛书: C.I.M.E. Summer Schools, 61.
版本/格式:   电子图书 : 文献 : 英语
数据库:WorldCat
提要:
W.K. ALLARD: On the first variation of area and generalized mean curvature.- F.J. ALMGREN Jr.: Geometric measure theory and elliptic variational problems.- E. GIUSTI: Minimal surfaces with obstacles.- J. GUCKENHEIMER: Singularities in soap-bubble-like and soap-film-like surfaces.- D. KINDERLEHRER: The analyticity of the coincidence set in variational inequalities.- M. MIRANDA: Boundaries of Caciopoli sets in the  再读一些...
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类型/形式: Electronic books
材料类型: 文献, 互联网资源
文档类型 互联网资源, 计算机文档
所有的著者/提供者: Enrico Bombieri; E Bombieri
ISBN: 3642109691 9783642109690 9783642109706 3642109705
OCLC号码: 990746901
语言注释: English.
注释: Description based upon print version of record.
描述: 1 online resource (226 p.)
内容: Geometric Measure Theory and Minimal Surfaces; Copyright Page; Contents; On The First Variation of Area and Generalized Mean Curvature; Lecture One; Lecture Two; Lecture Three; Lecture Four; References; Geometric Measure Theory and Elliptic Variational, Problems; Part A; Some phenomena of geometric variational problems; Part B; Goomotric variational problems in a mapping setting and associated varifolds; Part C; Surfaces as measures; Part D; A regularity theorem; Part E; Estimates on singular sets; Part F Caratheodory's construction for k dimensional measures in Rn and the atructure of sets of finite of finite Hausdorff measureReferences; Introduction; 1. Smooth obstacles; 2. Discontinuous and thin obstacles; existences theory; 3. Regularity of the attainable solution; the favorable case; 4. Regularity of the attainable solution; the general case; References; Singularities in Soap-Bubble-Link and Soap-Film-Link Surfaces; References; Figure 1; Figure 2; Figure 3; Figure 4; Figure 5; The Analyticity of the Coincidence Set in Variational Inequalities; References Boundaries of Caccioppoli Sets in the Calculus of VariationsBibliography; De Giorgi's Measure and Thin Obstacles; References
丛书名: C.I.M.E. Summer Schools, 61.
其他题名: C.I.M.E. Summer Schools
C.I.M.E. Summer Schools, Volume 61

摘要:

W.K. ALLARD: On the first variation of area and generalized mean curvature.- F.J. ALMGREN Jr.: Geometric measure theory and elliptic variational problems.- E. GIUSTI: Minimal surfaces with obstacles.- J. GUCKENHEIMER: Singularities in soap-bubble-like and soap-film-like surfaces.- D. KINDERLEHRER: The analyticity of the coincidence set in variational inequalities.- M. MIRANDA: Boundaries of Caciopoli sets in the calculus of variations.- L. PICCININI: De Giorgi's measure and thin obstacles.

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