%0 Journal Article
%T Ground state solution for a Kirchhoff problem with exponential critical growth
%A Giovany M. Figueiredo
%A Uberlandio B. Severo
%J Mathematics
%D 2013
%I arXiv
%X We establish the existence of a positive ground state solution for a Kirchhoff problem in $\mathbb{R}^2$ involving critical exponential growth, that is, the nonlinearity behaves like $\exp(\alpha_{0}s^{2})$ as $|s| \to \infty$, for some $\alpha_{0}>0$. In order to obtain our existence result we used minimax techniques combined with the Trudinger-Moser inequality.
%U http://arxiv.org/abs/1305.2571v1