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Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problemsKeywords: Critical points , non-smooth functionals , weak slope , deformation theorem , invariant functionals , mountain pass theorem , relative category. 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.
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