The study of a nonlinear suspension bridge equation by a variational reduction method
Q-Heung Choi, Jung Tacksun, Patrick McKenna · Applicable Analysis · 1993
Let L u = utt + uxxxx and H be the complete normed space spanned by the eigenfunction of L. A nonlinear suspension bridge equation (3 < b < 15) in H has at least three solutions. It is shown by a variational reduction method.