| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
This research is concerned with perturbation problem for the nonlinear elliptic partial differential systems with variational structure. I showed the multiple existence of semi-positive solutions for the nonlinear Schrodinger systems which consists of two equations. I also showed the existence of semi-solutions for the nonlinear Schrodinger systems which consists of n equations. That semi-positive solution changes sign exactly once for any chosen components and that is positive for the other components. Moreover, I also studied the nonlinear Schrodinger systems which consists of three equations. In particular, I consider the case where the coefficient of two coupling terms are negative and the coefficient of one coupling term is positive. Then I showed existence of a least energy positive solution and the shape of the solution. Moreover, I showed the multiple existence of positive solutions.
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