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 non-symmetric
perturbation
is not small.
Published April 15, 2009.
Math Subject Classifications: 20H15, 20F18, 20E99, 53C55.
Key Words: Minimax theory; Morse index; critical points.
Show me the PDF file (245 KB), TEX file, and other files for this article.
Jintae Kim Department of Mathematics, Tuskegee University Tuskegee, AL 36088, USA email: jtkim@tuskegee.edu |
Return to the table of contents
for this conference.
Return to the EJDE web page