Multiple Positive Solutions of Some Boundary Value Problems
We study the existence of multiple positive solutions of the equations − u′′=ƒ( t, u), subject to linear boundary conditions. We show that there are at least two positive solutions if ƒ( t, u) is superlinear at one end point (zero or infinity) and sublinear at the other. Applications of these result...
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| Veröffentlicht in: | Journal of mathematical analysis and applications 1994-06, Vol.184 (3), p.640-648 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We study the existence of multiple positive solutions of the equations −
u′′=ƒ(
t,
u), subject to linear boundary conditions. We show that there are at least two positive solutions if ƒ(
t,
u) is superlinear at one end point (zero or infinity) and sublinear at the other. Applications of these results are provided to yield multiple positive solutions of some elliptic boundary value problems on an annulus. |
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| ISSN: | 0022-247X 1096-0813 |
| DOI: | 10.1006/jmaa.1994.1227 |