6533b85ffe1ef96bd12c25f2
RESEARCH PRODUCT
A min-max principle for non-differentiable functions with a weak compactness condition
Salvatore A. MaranoRoberto Livreasubject
Pure mathematicsApplied MathematicsMathematics::Analysis of PDEsGeneral MedicineLipschitz continuityCritical point (mathematics)Critical pointLocally lipshitz continuous functionCompact spaceWeak Palais-Smale conditionDifferentiable functionMountain Pass geometryAnalysisMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 | Communications on Pure & Applied Analysis |