一类椭圆型方程正解的存在性

The Existence of Positive Solutions to a Class of Elliptic Equations

讨论了如下一类含临界指数的拟线性椭圆型方程解的存在性问题:- Δpu = λ｜u｜p- 2uα+ ｜u｜p- 2uu > 0u = 0 x ∈Ωx ∈Ωx ∈Ω其中p= npn- p,λ> 0,在α、p 满足一定的条件下。

In this paper,the author study the existence of non trivial positive solutions of the following elliptic equations:- Δ pu=λ|u| p-2 u α+|u| p *-2 u u>0 u=0 x∈Ω x∈Ω x∈  Ωwhere n\+2≥p\+2 and p\+*=npn-p .