| Project/Area Number |
14540159
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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 |
Basic analysis
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| Research Institution | Yokohama National University |
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Principal Investigator |
HIRANO Norimichi Yokohama National University, Graduate school of Environment and Information Sciences, Professor, 大学院・環境情報研究院, 教授 (80134815)
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| Co-Investigator(Kenkyū-buntansha) |
SHIOJI Naoki Yokohama National University, Graduate school of Environment and Information Sciences, Associate Professor, 大学院・環境情報研究院, 助教授 (50215943)
TAMANO Ken-ichi Yokohama National University, Graduate school of Engineering, Professor, 大学院・工学研究院, 教授 (90171892)
NAITO Koichiro Kumamoto University, Faculty of Engineering, Professor, 工学部, 教授 (10164104)
KOMIYA Hidetoshi Keio University, Faculty of Business, Professor, 商学部, 教授 (90153676)
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| Project Period (FY) |
2002 – 2005
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| Project Status |
Completed (Fiscal Year 2005)
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| Budget Amount *help |
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2005: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2003: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2002: ¥1,000,000 (Direct Cost: ¥1,000,000)
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| Keywords | Lotaka-Volterra / Dirichelt condition / homology / sign changing solution / elliptic problem / Lotoka-Volterra / 解の多重性 / homorogy / van del Pol / degree / nonlinear elliptic equation / 変分法 / ホモロジー理論 / ハミルトニアンシステム / 非線形楕円方程式 / ディクレ問題 / subharmonic / 非線形楕円型方程式 |
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| Research Abstract |
(1)For the nonlinear elliptic boundary value problem with singular tems, we used the method of nonsmooth analysis which has been developed recently, and got some results on the multiple existence of solutions. The results are improvement of our former joint work with Professor Claudio Saccon in Pisa University.
(2)For the nonlinear elliptic boundary value problem with nonhomogeneous terms, we established the multiple existence results by using variational method. The results ensure the existence of positive, negative and sign changing solutions. This work was done under cooperation with Professor AnnaMaria Micheletti in Pisa University and Angela Pistoia in Rome University.
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