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Periodic solutions for the completely resonant wave equation with a general non-linearity.

Speaker: 
P. Bolle
Institution: 
University of Avignon, France
Schedule: 
Tuesday, November 18, 2003 - 06:30 to 07:30
Location: 
room D
Abstract: 

We consider a non-linear wave equation for which all the solutions of the linearized problem at 0 are $2\pi$-periodic in time. Existence and multiplicity results for periodic solutions of fixed period are presented, under quite general assumptions on the non-linearity. These results are obtained by means of a variational principle.

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