Existence and multiplicity results for some superlinear elliptic problems on RN
We study the semilinear elliptic PDE in RN The nonlinearity ƒ will be superlinear and subcritical. We prove the existence 0f a positive solution under various hypotheses on b. If and ƒ is odd in u, then we also discuss the dependence of the number of (possibly sign changing) solutions on the paramet...
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| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1995
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| In: |
Communications in partial differential equations
Year: 1995, Jahrgang: 20, Heft: 9/10, Pages: 1725-1741 |
| ISSN: | 1532-4133 |
| DOI: | 10.1080/03605309508821149 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1080/03605309508821149 |
| Verfasserangaben: | Thomas Bartsch, Zhi Qiang Wang |
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| 245 | 1 | 0 | |a Existence and multiplicity results for some superlinear elliptic problems on RN |c Thomas Bartsch, Zhi Qiang Wang |
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| 520 | |a We study the semilinear elliptic PDE in RN The nonlinearity ƒ will be superlinear and subcritical. We prove the existence 0f a positive solution under various hypotheses on b. If and ƒ is odd in u, then we also discuss the dependence of the number of (possibly sign changing) solutions on the parameter λ. We do not assume that b or ƒ have a limit for . | ||
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