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Zeitschrift für Analysis und ihre Anwendungen

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Volume 16, Issue 2, 1997, pp. 405–433
DOI: 10.4171/ZAA/770

Published online: 1997-06-30

A General Approach to the Min-Max Principle

J.-N. Corvellec[1]

(1) Université de Perpignan, France

Following the abstract approach of [11], we give a general mm-max principle in critical point theory which covers the classical results and applies to a variety of settings. Especially, thanks to the notion of weak slope introduced in [16] and results of [12], this principle applies to continuous functionals and some classes of lower semicontinuous functionals considered in the literature.

Keywords: Deformation property, min-max principle, weak d-slope

Corvellec J.-N.: A General Approach to the Min-Max Principle. Z. Anal. Anwend. 16 (1997), 405-433. doi: 10.4171/ZAA/770