Precise spectral asymptotics for nonautonomous logistic equations of population dynamics in a ball

We consider the semilinear elliptic eigenvalue problem −Δu+k(|x|)up=λu, u>0 in BR, u=0 on ∂BR, where p>1 is a constant, BR:={x∈RN:|x|<R}(N≥1), and λ>0 is a parameter. We investigate the global structure of the branch of (λ,uλ) of bifurcation diagram from a point of view of L2-theory. To...

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Bibliographic Details
Main Author: Tetsutaro Shibata
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.563
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