%0 Journal Article
%T Asymptotic analysis and sign changing bubble towers for Lane-Emden problems
%A Francesca De Marchis
%A Isabella Ianni
%A Filomena Pacella
%J Mathematics
%D 2013
%I arXiv
%X We consider the semilinear Lane-Emden problem in a smooth bounded domain of the plane. The aim of the paper is to analyze the asymptotic behavior of sign changing solutions as the exponent p of the nonlinearity goes to infinity. Among other results we show, under some symmetry assumptions on the domain, that the positive and negative parts of a family of symmetric solutions concentrate at the same point, as p goes to infinity, and the limit profile looks like a tower of two bubbles given by a superposition of a regular and a singular solution of the Liouville problem in the plane.
%U http://arxiv.org/abs/1309.6961v2