Morse Theory, Minimax Theory and Their Applications to Nonlinear Differential Equations (New Studies in Advanced Mathematics) (Vol 1)

Based on lectures held at the Morningside Center of Mathematics, at the Chinese Academy of Sciences, Beijing from April 1st to September 30th, 1999. This volume cotains both survey and creative papers dealing with Morse Theory, Minimax theory, Iteration theory of Maslov-type index and critical minimization problems.

The book particularly emphasizes applications to nonlinear differential equations including semilinear elliptic boundry problems, P-Laplacian systems, periodic, homoclinic and hereoclinic orbits of Hamiltonian systems and symplectic geometry.