The main purpose of this paper is to analyze the asymptotic behavior of the radial solution of Hénon equation −Δu = |x|αup−1, u > 0, x ∈ BR(0) ⊂ ℝn (n ⩾ 3), u = 0, x ∈ ∂BR(0), where \documentclass[12pt]{minimal}
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\begin{document}$$
p \to p(\alpha ) = \frac{{2(n + \alpha )}}
{{n - 2}}
$$\end{document} from left side, α > 0.
机构:
Department of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, Ad Dammam
Basic and Applied Scientific Research Center, Imam Abdulrahman Bin Faisal University, Ad DammamDepartment of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, Ad Dammam
机构:
Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, ArgentinaUniv Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina