| Title | A note on a superlinear indefinite Neumann problem with multiple positive solutions |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Boscaggin, A |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 377 |
| Pagination | 259 - 268 |
| ISSN | 0022-247X |
| Keywords | Indefinite weight; Nonlinear boundary value problems; positive solutions; Shooting method |
| Abstract | We prove the existence of three positive solutions for the Neumann problem associated to u″+a(t)uγ+1=0, assuming that a(t) has two positive humps and ∫0Ta−(t)dt is large enough. Actually, the result holds true for a more general class of superlinear nonlinearities. |
| URL | http://www.sciencedirect.com/science/article/pii/S0022247X10008796 |
| DOI | 10.1016/j.jmaa.2010.10.042 |
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