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

DOI10.1155/S1085337596000140zbMath0938.58013MaRDI QIDQ1809775

Jiabao Su, Shu-Jie Li

Publication date: 14 June 2000

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48438

zbMATH Keywords

Morse theoryperiodic solutions of Hamiltonian systemsresonance at infinitydegenerate critical points

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (10)

Periodic solutions of asymptotically linear autonomous Hamiltonian systems with resonance ⋮ Periodic solutions of asymptotically linear autonomous Newtonian systems with resonance ⋮ Periodic solutions of autonomous Newtonian systems partially asymptotically linear at infinity ⋮ Multiple periodic solutions of superlinear ordinary differential equations with a parameter ⋮ Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms ⋮ Some minimax theorems on finding nontrivial critical points and their applications ⋮ Solutions to a gradient system with resonance at both zero and infinity ⋮ Critical point theorem for asymptotically quadratic functional without compactness ⋮ Resonant problems for fractional Laplacian ⋮ Periodic solutions for second order systems at resonance

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