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Poincaré–Birkhoff results for Lagrangian systems with subquadratic potential
Published online by Cambridge University Press: 14 November 2011
Abstract
In this paper, using a recent generalisation of Morse Theory, we study the existence of periodic solutions of the Lagrangian equation (1.1) with subquadratic potential and asymptotically flat, nonconstant, time-dependent metric on ℝN. In Section 3, we get also an ‘alternative result’ about the minimal period or the existence of infinitely many solutions.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 6 , 1995 , pp. 1169 - 1177
- Copyright
- Copyright © Royal Society of Edinburgh 1995