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| Content Provider | Springer Nature Link |
|---|---|
| Author | Pietramala, Paolamaria Infante, Gennaro |
| Copyright Year | 2015 |
| Abstract | We provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations. Some of the criteria involve a comparison with the spectral radii of some associated linear operators. We apply our results to prove the existence of multiple nonzero radial solutions for some systems of elliptic boundary value problems subject to nonlocal boundary conditions. Our approach is topological and relies on the classical fixed point index. We present an example to illustrate our theory. |
| Ending Page | 1003 |
| Page Count | 25 |
| Starting Page | 979 |
| File Format | |
| ISSN | 10219722 |
| e-ISSN | 14209004 |
| Journal | Nonlinear Differential Equations and Applications NoDEA |
| Issue Number | 4 |
| Volume Number | 22 |
| Language | English |
| Publisher | Springer Basel |
| Publisher Date | 2015-03-05 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Radial solution Cone Spectral radius Non-existence Fixed point index Systems of nonlinear integral equations Nontrivial solution Nonlocal and multipoint boundary value problems Multiplicity Analysis Annular domain Nonlocal boundary conditions Elliptic system Particular nonlinear operators (superposition, Hammerstein, NemytskiÄ, Uryson, etc.) Axially symmetric solutions Boundary value problems for second-order elliptic systems |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Analysis |
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