Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition
Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition
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DOI：
10.1512/iumj.2008.57.3324
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发表时间：
2007-06
影响因子：
1.1
通讯作者：
F. Robert;Juncheng Wei
中科院分区：
文献类型：
--
作者：
F. Robert;Juncheng Wei
考虑四阶方程<$2 u = ρ eu/<$Ω eudx in Ω，u= δvU = 0 on δΩ Δ 2 u = ρ eu/<$Ω eudx in Ω，u = δ vu = 0 On δΩ其中Q是P4中光滑定向有界区域.假设0 < p ≤ C，我们完全刻画了无界解的渐近性态.
We consider asymptotic behavior of the following fourth order equation ∇ 2 u = ρ e u /∫ Ω e u d x in Ω, u= δvU = 0 on δΩ Δ 2 u = ρ e u /∫ Ω e u dx in Ω, u = δ v u = 0 On δΩ where Q is a smooth oriented bounded domain in Ρ 4 . Assuming that 0 < p ≤ C, we completely characterize the asymptotic behavior of the unbounded solutions.