Seventh Mississippi State  UAB Conference on Differential Equations and
Computational Simulations.
Electron. J. Diff. Eqns., Conference 17 (2009), pp. 95105.
Infinitely many periodic solutions of nonlinear wave equations on $S^n$
Jintae Kim
Abstract:
The existence of time periodic solutions of nonlinear
wave equations
on
dimensional
spheres is considered. The corresponding
functional of the equation is studied by the convexity in
suitable subspaces, minimax arguments for almost symmetric
functional, comparison principles and Morse theory.
The existence of infinitely many time periodic solutions is
obtained where
and the nonsymmetric
perturbation
is not small.
Published April 15, 2009.
Math Subject Classifications: 20H15, 20F18, 20E99, 53C55.
Key Words: Minimax theory; Morse index; critical points.
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Jintae Kim
Department of Mathematics, Tuskegee University
Tuskegee, AL 36088, USA
email: jtkim@tuskegee.edu

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