2015 Fiscal Year Final Research Report
A study of nonlinear elliptic equations with variational methods
| Project/Area Number |
23740130
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Global analysis
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| Research Institution | Waseda University |
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Principal Investigator |
HIRATA Jun 早稲田大学, 理工学術院, その他 (10580483)
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Keywords | 変分法 / 非線型楕円型方程式 |
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| Outline of Final Research Achievements |
We study nonlinear elliptic equations and in paticular the existence of non-trivial solutions.
We succeed to show the existece of positive solutions in the situation where the corresponding
functional does not satisfy the Palais-Smale condition. We give a new estimate for functionals which enable us to show the existece of critical points. As its application, we also study singular perturbation problems.
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| Free Research Field |
関数方程式
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