Nonlinear vibrations of completely resonant wave equations

• Autorzy: Massimiliano Berti
• Języki publikacji: EN

Abstrakty

EN

We present recent existence results of small amplitude periodic and quasi-periodic solutions of completely resonant nonlinear wave equations. Both infinite-dimensional bifurcation phenomena and small divisors difficulties occur. The proofs rely on bifurcation theory, Nash-Moser implicit function theorems, dynamical systems techniques and variational methods.

Kategorie tematyczne

• 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel\cprime man) theory, etc.)
• 35L05: Wave equation
• 37K50: Bifurcation problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 77
• Numer: 1
• Strony: 49-60

Daty

wydano

2007

Twórcy

autor

Massimiliano Berti

• Dipartimento di Matematica e Applicazioni R. Caccioppoli, Università Federico II di Napoli, Via Cintia, Monte S. Angelo, 80126, Napoli, Italy

Identyfikatory

DOI

10.4064/bc77-0-4