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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Bibliographic Details
Main Authors: Bartsch, Thomas (Author) , Wang, Zhi-Qiang (Author)
Format: Article (Journal)
Language:English
Published: 1995
In: Communications in partial differential equations
Year: 1995, Volume: 20, Issue: 9/10, Pages: 1725-1741
ISSN:1532-4133
DOI:10.1080/03605309508821149
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1080/03605309508821149
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Author Notes:Thomas Bartsch, Zhi Qiang Wang
Description
Summary: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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Physical Description:Online Resource
ISSN:1532-4133
DOI:10.1080/03605309508821149