Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10426880 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 11 Pages |
Abstract
In this paper we study the asymptotic behavior of the ground state solutions of the Hénon type biharmonic equation Î2u=|x|αupâ1 in Ω, u>0 in Ω and u=âuân=0 on âΩ, where Ω is the unit ball in RN, α>0,p>2. We prove that the ground state solution up concentrates on a boundary point and has a unique maximum point as pâ2â=2NNâ4, which deduce that the ground state solution up is not radially symmetric.
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Authors
Yajing Zhang, Jianghao Hao,