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A unified approach to min-max critical point theorems. (English) Zbl 0831.58014

The authors present an elementary introduction to the basic abstract results of critical point theory. This includes a version of the deformation lemma as well as classical linking theorems based on the minimax principle. The functionals considered are assumed to satisfy the Palais-Smale condition or variations theory.

MSC:

58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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