%0 Journal Article
%T Existence of stable solutions to $(-жд)^m u=e^u$ in $\mathbb{R}^N$ with $m \geq 3$ and $N > 2m$
%A Xia Huang
%A Dong Ye
%J Mathematics
%D 2015
%I arXiv
%X We consider the polyharmonic equation $(-\Delta)^m u=e^u$ in $\mathbb{R}^N$ with $m \geq 3$ and $N > 2m$. We prove the existence of many entire stable solutions. This answer some questions raised by Farina and Ferrero.
%U http://arxiv.org/abs/1509.04314v1