Abstract
In this paper we establish the multiplicity of positive solutions to second-order superlinear repulsive singular Neumann boundary value problems. It is proved that such a problem has at least two positive solutions under reasonable conditions. Our nonlinearity may be repulsive singular in its dependent variable and superlinear at infinity. The proof relies on a nonlinear alternative of Leray-Schauder type and on Krasnoselskii fixed point theorem on compression and expansion of cones.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 555-569 |
| Number of pages | 15 |
| Journal | Positivity |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jul 2008 |
Keywords
- Fixed point theorem in cones
- Leray-Schauder alternative
- Neumann boundary value problems
- Positive solutions
- Repulsive singular
- Superlinear
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Chu, JF,Lin, XN,Jiang, DQ,O'Regan, D,Agarwal, RP
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