A General Approach to the Min-Max Principle

  • J.-N. Corvellec

    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.

Cite this article

J.-N. Corvellec, A General Approach to the Min-Max Principle. Z. Anal. Anwend. 16 (1997), no. 2, pp. 405–433

DOI 10.4171/ZAA/770