Electronic Journal of Differential Equations, Monograph 07, 2006, (213 pages). Title: Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problems Author: Marco Squassina (Univ. degli Studi di Milano-Bicocca, Italy) Abstract: The aim of this monograph is to present a comprehensive survey of results about existence, multiplicity, perturbation from symmetry and concentration phenomena for a class of quasi-linear elliptic equations coming from functionals of the calculus of variations which turn out to be merely continuous. Some tools of non-smooth critical point theory will be employed. Submitted September 12, 2005. Published February 16, 2006. Math Subject Classifications: 35J20, 35J25, 49J52, 58E35, 74G35. Key Words: Critical points; non-smooth functionals; weak slope; deformation theorem; invariant functionals, mountain pass theorem;relative category.