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The limiting case for strongly indefinite functionals. (English) Zbl 0817.58006

The limiting case for strongly independent functionals is studied without assuming the Palais-Smale condition and Ekeland variational principle. Applications to the generalized saddle point theorem and generalized linking theorem are also provided. This note will appeal to the readers interested in the critical point theory.

MSC:

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