一个推广的Pohozave恒等式及应用

A pohozave identity and application

给出了下列多重调和方程 ( -Δ) mv=λv +(v+uμ) p -upμ jv nj Ω=0 j=1,2 ,… ,m -1的Pohozave恒等式 ,并讨论了当λ <0时上述方程解的非存在性。其中Ω =BR( 0 )为球 ,v ,uμ ∈Hm0 (Ω) ,λ∈R1 。

This paper deals with a Pohozave identity of the following equation and nonexistence of its solution for λ<0: (-Δ) mv=λv+(u μ+v) p-u p μ, jun j｜ Ω =0,j=1,2,…,m-1 Where Ω =B R(0), v,u μ∈H m 0(μ),λ∈R 1.