Critical Point Theory and Hamiltonian Systems

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Focusing on critical point theory in infinite-dimensional spaces, this book explores its application to nonlinear boundary value problems, particularly periodic solutions of Hamiltonian systems. It systematically presents essential tools such as minimization, convex functions, and Morse theory, illustrating each with practical applications. Key topics include the existence and multiplicity of periodic solutions, subharmonics, and their relevance to mechanical pendulums, Josephson systems, and celestial mechanics. The text is tailored for readers familiar with classical ordinary differential equations, progressively introducing modern techniques and extensive references.