Periodic and quasiperiodic waves on the sphere

Title:	Periodic and quasiperiodic waves on the sphere
Authors:	G. Arioli, H. Koch
Abstract:	We construct periodic and quasiperiodic solutions for the nonlinear plate equation on the unit sphere in R³. Periodic solutions for the nonlinear wave equation are constructed as well. The methods do not involve small parameters. In the case of a cubic nonlinear term, our approach is computer-assisted and thus yields detailed information about each solution. For nonlinearities that are in some sense close to linear, weak solutions are obtained by a variational method.
Paper:	Preprint and program text

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