2013 Fiscal Year Final Research Report
Profile and multiplicity of solutions of nonlinear differential equations
| Project/Area Number |
22540177
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Yokohama National University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2010-04-01 – 2014-03-31
|
| Keywords | 解の多重性 |
|---|
| Research Abstract |
In this research, I investigated the existence and multiplicity of the solutions of nonlinear elliptic problems defined on domains which have holes, and showed some properties of solutions. On the other hand, we established the existence of solutions of nonlinear Schrodinger equations defined on Reimannian manifolds and showed the relation between the Ricci curvature and the multiplicity of solutions.
|
Research Products
(7 results)
