次临界问题非平凡解的渐近性态

On the Asymptotic Behaviour of Nontrivial Solutions of Subcritical Problems

讨论Ｒｎ的有界星形区域中半线性椭圆型方程Ｄｉｒｉｃｈｌｅｔ问题－Δｕ＝ｕｐ－σ，ｘ∈Ω，ｕ＝０，ｘ∈Ω，｛非平凡解的渐近性态，其中ΩＲｎ，ｎ≥３，０＜σ＜４ｎ－２，ｐ＝ｎ＋２ｎ－２．

Some asymptotic behaviours of nontrivial solutions are given for the following Dirichlet problems of semilinear elliptic equation -Δu=u p-σ ,x∈Ω u=0,x∈Ω where ΩR n is the starsharped domain, n≥3,0<σ<4n-2,p=n+2n-2.