Uniqueness of positive radial solutions of u+f(u)=0 in R super()N N>=2

We study the uniqueness of radially symmetric ground states for the semilinear elliptic partial differential equation [MathML equation] Assuming that [MathML equation] is negative in (0,u sub(1)) and positive in [MathML equation], we obtain the uniqueness of nonnegative solutions with [MathML equati...

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Bibliographic Details
Published inNonlinear analysis Vol. 73; no. 7; pp. 2189 - 2198
Main Author Jang, Jaeduck
Format Journal Article
LanguageEnglish
Published 01.10.2010
Subjects
Ground state
Mathematical analysis
Nonlinearity
Partial differential equations
Uniqueness
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Summary:We study the uniqueness of radially symmetric ground states for the semilinear elliptic partial differential equation [MathML equation] Assuming that [MathML equation] is negative in (0,u sub(1)) and positive in [MathML equation], we obtain the uniqueness of nonnegative solutions with [MathML equation] in the case where S(u)=uf super(')(u)/f(u) is monotonically decreasing in [MathML equation].
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ISSN:0362-546X
DOI:10.1016/j.na.2010.05.045