The exact boundary blow-up rate of large solutions for semilinear elliptic problems

In this paper, we establish the blow-up rate of the large positive solution of the singular boundary value problem − △ u = λ u − a ( x ) u p , u | ∂ Ω = + ∞ , where Ω is a bounded smooth domain in R N . The weight function a ( x ) in front of the nonlinearity can vanish on the boundary of the domain...

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Veröffentlicht in:	Nonlinear analysis 2008-05, Vol.68 (9), p.2791-2800
Hauptverfasser:	Ouyang, Tiancheng, Xie, Zhifu
Format:	Artikel
Sprache:	eng
Schlagworte:	Blow-up rate Exact sciences and technology Large positive solution Mathematical analysis Mathematics Partial differential equations Sciences and techniques of general use Semilinear elliptic equation Uniqueness
Online-Zugang:	Volltext
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