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次临界问题非平凡解的渐近性态
On the Asymptotic Behaviour of Nontrivial Solutions of Subcritical Problems
【摘要】 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ΩRn,n≥3,0<σ<4n-2,p=n+2n-2.
【Abstract】 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 ΩR n is the starsharped domain, n≥3,0<σ<4n-2,p=n+2n-2.
【关键词】 半线性椭圆型方程;
星形区域;
次临界增长;
集中紧性原理;
【Key words】 semilinear elliptic equation; starsharped domain; subcritical growth; concentration compactness prineiple;
【Key words】 semilinear elliptic equation; starsharped domain; subcritical growth; concentration compactness prineiple;
- 【文献出处】 广西大学学报(自然科学版) ,JOURNAL OF GUANGXI UNIVERSITY , 编辑部邮箱 ,1997年03期
- 【分类号】O175.25
- 【下载频次】13