2009 Fiscal Year Final Research Report
Research on stability and global properties of solutions of geometric variational problems
| Project/Area Number |
19540217
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Nara Women's University |
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Principal Investigator |
KOISO Miyuki Nara Women's University, 理学部, 教授 (10178189)
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| Co-Investigator(Kenkyū-buntansha) |
FUJIOKA Atsushi 一橋大学, 大学院・経済学研究科, 准教授 (30293335)
ANDO Naoya 熊本大学, 大学院・自然科学研究科, 准教授 (50359965)
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| Research Collaborator |
PALMER Bennett 米国・アイダホ州立大学, 教授
PICCIONE Paolo ブラジル・サンパウロ大学, 教授
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| Project Period (FY) |
2007 – 2009
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| Keywords | 変分法 / 変分問題 / capillary surface / Delaunay曲面 / 非等方的表面エネルギー / 非等方的平均曲率一定曲面 / 平均曲率一定曲面 / Wulff図形 |
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| Research Abstract |
We studied equilibrium surfaces for anisotropic surface energy with volume constraint (CAMC surfaces). We obtained many important results about geometry and stability for CAMC surfaces with free boundary on two parallel planes. Moreover, we proved a uniqueness theorem for closed CAMC surfaces.
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