| Project/Area Number |
26610030
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical analysis
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| Research Institution | Osaka City University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
和田出 秀光 金沢大学, 機械工学系, 准教授 (00466525)
石渡 通徳 大阪大学, 基礎工学研究科, 准教授 (30350458)
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| Co-Investigator(Renkei-kenkyūsha) |
IOKU Norisuke 愛媛大学, 大学院理工学研究科, 准教授 (50624607)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 函数不等式 / 変分原理 / Hardy 不等式 / Trudinger-Moser 不等式 / 関数不等式 / ハーディー不等式 / 最良定数 |
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| Outline of Final Research Achievements |
The aim of this research is to understand the variational structures of several functional inequalities, such as Trudinger-Moser, Sobolev, and Hardy type, which are established newly in various functional spaces such as Lorentz, and Orlicz, and to find new applications to PDE theories.More precise research subjects are the following:(1) Sobolev-Orlicz approach to elliptic systems with the indefinite variational structures, (2) Study of the Trudinger-Moser type inequalities and their variational structures (3) Hardy type inequalities of the scale invariant form and its application to the stability theory of solutions.
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