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Rotationally invariant periodic solutions of semilinear wave equations. (English) Zbl 0973.35024

Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.
Reviewer: V.Mustonen (Oulu)

MSC:

35B10 Periodic solutions to PDEs
35P20 Asymptotic distributions of eigenvalues in context of PDEs
35L70 Second-order nonlinear hyperbolic equations
49J35 Existence of solutions for minimax problems
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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