On the structure of the critical set of non-differentiable functions with a weak compactness condition

Author: Bonanno Gabriele  

Publisher: Taylor & Francis Ltd

ISSN: 0003-6811

Source: Applicable Analysis, Vol.89, Iss.1, 2010-01, pp. : 1-10

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Abstract

The nature of critical points generated by a Ghoussoub's type min-max principle for locally Lipschitz continuous functionals fulfilling a weak Palais-Smale assumption, which contains the so-called non-smooth Cerami condition, is investigated. Two meaningful special cases are then pointed out; see Theorems 3.5 and 3.6.