Electron. J. Diff. Eqns., Monograph 07, 2006, (213 pages).

Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problems

Marco Squassina

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.

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Marco Squassina
Dipartimento di Matematica e Applicazioni
Università degli Studi di Milano-Bicocca
Via R. Cozzi 53, I-20125 Milano, Italy
email: marco.squassina@unimib.it

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