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Asymptotic behavior of least energy solutions of a biharmonic equation in dimension four

✍ Scribed by Ben Ayed M., El Mehdi K., Grossi M.


Book ID
127403631
Tongue
English
Weight
281 KB
Category
Library

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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