# American Institute of Mathematical Sciences

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May  2014, 13(3): 1187-1202. doi: 10.3934/cpaa.2014.13.1187

## Non-smooth critical point theory on closed convex sets

 1 Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria 6, 95125 Catania

Received  May 2013 Revised  September 2013 Published  December 2013

A critical point theory for non-differentiable functionals defined on a closed convex subset of a Banach space is worked out. Special attention is paid to the notion of critical point and possible compactness conditions of Palais-Smale's type. Two Mountain-Pass like theorems are also established. Concepts and results are compared with those already existing in the literature.
Citation: Salvatore A. Marano, Sunra Mosconi. Non-smooth critical point theory on closed convex sets. Communications on Pure & Applied Analysis, 2014, 13 (3) : 1187-1202. doi: 10.3934/cpaa.2014.13.1187
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##### References:
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