Download e-book for kindle: Advances in Hamiltonian Systems by Antonio Ambrosetti (auth.), J. P. Aubin C.E.R.E.M.A.D.E., A.

By Antonio Ambrosetti (auth.), J. P. Aubin C.E.R.E.M.A.D.E., A. Bensoussan C.E.R.E.M.A.D.E., I. Ekeland C.E.R.E.M.A.D.E. (eds.)

ISBN-10: 0817631305

ISBN-13: 9780817631307

ISBN-10: 146846728X

ISBN-13: 9781468467284

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Extra info for Advances in Hamiltonian Systems

Example text

Let us define ~(~) if H(~/t) = I • with 2

R 0 TV I; E S an ~ eomorp h'~c to S2N-I In a standard fashion, he first considers the nonlinear eigenvalue problem . q p where now p and q are 2rr periodic functions and A is a real parameter, After a change of the time variable, solutions to (H)A give 2rrA periodic solutions of (H). Then he looks for critical points of the action 2rr lD N dt integral subject to the constraint J o (1/2rr) f:rr H(z(t» ... dt = 1 • In this connection, he deeply exploits the symmetry properties of (H)A to get appropriate critical points of minimax type.

BENCI, On the critical point theory for indefinite func- tionals in the presence of symmetries, to appear in Trans. Amer. Math. Soc. [ BCFI ] V. BENCI - A. CAPOZZI - D. FORTUNADO, Periodic solutions of Hamiltonian systems with a prescribed period, Preprint. [ BCF2 ] V. BENCI - A. CAPOZZI - D. FORTUNADO, Periodic solutions for a class of Hamiltonian systems, to appear. [ BFI] V. BENCI - D. FORTUNADO, Un teorema di molteplicita per un'equazione ellittica non lineare su varieta simmetriche, Proceedings of the Symposium "Metodi 42 asintotici e topologici in problem diff.

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Advances in Hamiltonian Systems by Antonio Ambrosetti (auth.), J. P. Aubin C.E.R.E.M.A.D.E., A. Bensoussan C.E.R.E.M.A.D.E., I. Ekeland C.E.R.E.M.A.D.E. (eds.)


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