%0 Journal Article
%T Concentration of solutions for a fourth order elliptic equation in $\mathbb{R}^N$
%A Liu Zhongyuan
%J Mathematics
%D 2011
%I arXiv
%X In this paper, we study the following fourth order elliptic problem $$ \Delta^2 u=(1+\epsilon K(x)) u^{2^*-1}, \quad x\in \mathbb{R}^N $$ where $2^*=\frac{2N}{N-4}$,$N\geq5$, $ \epsilon>0$. We prove that the existence of two peaks solutions for the above problem, if $K(x)$ has two critical points satisfying certain conditions, provided $\epsilon$ is small enough.
%U http://arxiv.org/abs/1111.2712v1