Asymptotic behavior on the Hénon equation with supercritical exponent.

The main purpose of this paper is to analyze the asymptotic behavior of the radial solution of Hénon equation −Δ u = | x| ^α u ^p−1, u > 0, x ∈ B _R (0) ⊂ ℝ 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. [ABSTRACT FROM AUTHOR]