| This paper deals with the existence of the positive solutions of the semilinear elliptic Dirichlet problem Δｕ＋λｕｑ＋ｕp＝０ on a ball where ０〈ｑ〈１，ｐ〉ｐｃ≡(Ｎ＋２)/(Ｎ－２)（Ｎ〉２） and λ∈R . Under the condition N<6 or N〉6, p〈pN , we prove that there exists a unique constant λ0〉0 , such that for λ=λ0 , there exists a unique radial singular solution and infinitely many of solutions. |
