Poincaré–Birkhoff results for Lagrangian systems with subquadratic potential

DOI10.1017/S0308210500030444zbMath0848.34025MaRDI QIDQ4871907

Lorenzo Pisani, Silvia Cingolani

Publication date: 24 October 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionMorse indexLagrangian system

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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Unnamed Item
• Periodic solutions of Lagrangian systems with bounded potential
• Periodic solutions of asymptotically linear dynamical systems
• Infinite dimensional Morse theory and multiple solution problems
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations

This page was built for publication: Poincaré–Birkhoff results for Lagrangian systems with subquadratic potential