A general critical point result established by Ghoussoub is extended to the case of locally Lipschitz continuous functions satisfying a weak Palais-Smale hypothesis, which includes the so-called non-smooth Cerami condition. Some special cases are then pointed out.
Livrea, R., Marano, S. (2009). A min-max principle for non-differentiable functions with a weak compactness condition. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 8(3), 1019-1029 [10.3934/cpaa.2009.8.1019].
A min-max principle for non-differentiable functions with a weak compactness condition
Livrea, Roberto;Marano, Salvatore A.
2009-01-01
Abstract
A general critical point result established by Ghoussoub is extended to the case of locally Lipschitz continuous functions satisfying a weak Palais-Smale hypothesis, which includes the so-called non-smooth Cerami condition. Some special cases are then pointed out.
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