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Abstract and Applied Analysis 
Volume 1 (1996), Issue 3, Pages 277-289
doi:10.1155/S1085337596000140

Existence of multiple critical points for an asymptotically quadratic functional with applications

Shujie Li and Jiabao Su

Institute of Mathematics, Academia Sinica, Beijing 100080, China

Received 7 September 1996

Abstract

Morse theory for isolated critical points at infinity is used for the existence of multiple critical points for an asymptotically quadratic functional. Applications are also given for the existence of multiple nontrivial periodic solutions of asymptotically Hamiltonian systems.