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Critical groups at infinity for asymptotically quadratic functionals. (English) Zbl 1043.58005
Summary: Based on the splitting theorem near infinity (due to Bartsch-Li), we prove a new result concerning the computation of the critical group at infinity of asymptotically quadratic functionals, which is similar to the corresponding results for the critical groups at isolated critical points.
MSC:
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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