摘要
The main purpose of this paper is to analyze the asymptotic behavior of the radial solution of Hénon equation ?Δu = |x| α u p?1, u > 0, x ∈ B R (0) ? ? n (n ? 3), u = 0, x ∈ ?B R (0), where $ p \to p(\alpha ) = \frac{{2(n + \alpha )}} {{n - 2}} $ from left side, α > 0.
The main purpose of this paper is to analyze the asymptotic behavior of the radial solution of Hénon equation △ u = |x|αup-1, u > 0, x ∈ BR(0) Rn (n 3), u = 0, x ∈ BR(0), where p → p(α) = 2(n+α)/n-2 from left side, α > 0.
基金
supported by National Natural Science Foundation of China (Grant No. 10631030)
the Program for New Century Excellent Talents in University (Grant No. 07-0350)
the Key Project of ChineseMinistry of Education (Grant No. 107081)
the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Chinese Ministry of Education
