Multibump solutions for quasilinear elliptic equations (Q418713)

The article is concerned with constructing multibump type solution for quasilinear Schrödinger equations in the entire space. They get some extensions of the results of the classical work of \textit{V. Coti Zelati} and \textit{P. H. Rabinowitz} [Commun. Pure Appl. Math. 45, No. 10, 1217--1269 (1992; Zbl 0785.35029)] in which they get multibump type solutions for semilinear elliptic PDEs with periodic potentials by using a gluing method. The goal of the current paper is to establish the phenomenon of multibump type solutions for quasilinear equations for which the variational formulation lacks both smoothness and compactness.