2010 Fiscal Year Final Research Report
A variational study on the multiple existence of periodic orbits for some singular Hamiltonian system
| Project/Area Number |
20740091
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Shizuoka University |
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Principal Investigator |
ADACHI Shinji Shizuoka University, 工学部, 准教授 (40339685)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 変分法 / 特異ハミルトン系 / 非衝突周期軌道 / 楕円型方程式 / 正値解 |
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| Research Abstract |
I obtain precise estimate of the Morse index for some class of singular Hamiltonian system, which is a key point for the multiple existence of periodic orbits. I also show the existence of G-invariant positive solution of some quasilinear elliptic equations arising from plasma physics.
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