%0 Journal Article
%T On the logarithmic Schrodinger equation
%A Pietro d'Avenia
%A Eugenio Montefusco
%A Marco Squassina
%J Mathematics
%D 2013
%I arXiv
%X In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with logarithmic nonlinearity arising in physically relevant situations. Furthermore, we prove that there exists a unique positive solution which is radially symmetric and nondegenerate.
%U http://arxiv.org/abs/1304.6878v2