Liang, Zhigang; Liu, Shibo Critical groups at infinity for asymptotically quadratic functionals. (English) Zbl 1043.58005 Acta Anal. Funct. Appl. 5, No. 3, 213-216 (2003). 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 Keywords:Morse index; critical groups; asymptotically quadratic functional PDF BibTeX XML Cite \textit{Z. Liang} and \textit{S. Liu}, Acta Anal. Funct. Appl. 5, No. 3, 213--216 (2003; Zbl 1043.58005)