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 R(N). In Section 3, we get also an 'alternative result' about the minimal period or the existence of infinitely many solutions.
Poincaré-Birkhoff results for Lagrangian systems with subquadratic potential / Cingolani, S.; Pisani, L.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 125:6(1995), pp. 1169-1177. [10.1017/S0308210500030444]
Poincaré-Birkhoff results for Lagrangian systems with subquadratic potential
Cingolani, S.;
1995-01-01
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 R(N). In Section 3, we get also an 'alternative result' about the minimal period or the existence of infinitely many solutions.File in questo prodotto:
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