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Asymptotic behaviour of ground state solutions for the Henon equation

✍ Scribed by Cao, D.; Peng, S.; Yan, S.


Book ID
126755341
Publisher
Oxford University Press
Year
2008
Tongue
English
Weight
127 KB
Volume
74
Category
Article
ISSN
0272-4960

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The asymptotic behavior of the ground st
✍ Yajing Zhang; Jianghao Hao πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 243 KB

In this paper we study the asymptotic behavior of the ground state solutions of the HΓ©non type biharmonic equation βˆ† 2 u = |x| Ξ± u p-1 in Ω, u > 0 in Ω and u = βˆ‚u βˆ‚n = 0 on βˆ‚β„¦, where Ω is the unit ball in R N , Ξ± > 0, p > 2. We prove that the ground state solution u p concentrates on a boundary poin