Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1997-06-30
A General Approach to the Min-Max PrincipleJ.-N. Corvellec (1) Université de Perpignan, France
Following the abstract approach of , 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  and results of , 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