Periodic Solutions of Singular Lagrangian Systems (Progress in Nonlinear Differential Equations) - Hardcover

Antonio Ambrosetti

Hardcover

ISBN 10: 3764336552 ISBN 13: 9783764336554

Publisher: Birkhauser

Synopsis

Nonlinear functional analysis has proven to be a powerful alternative to classical perturbation methods in the study of periodic motions of regular Hamiltonian systems. The authors of this monograph present a summary and synthesis of recent research demonstrating that variational methods can be used to successfully handle systems with singular potential, the Lagrangian systems. The classical cases of the Kepler problem and the N-body problem are used as specific examples. Critical point theory is used to obtain existence results, qualitative in nature, which hold true for broad classes of potentials. These results give a functional frame for systems with singular potential. The authors have provided some valuable methods and tools to researchers working on this constantly evolving topic. At the same time, they present the new approach and results that they have shared over recent years with their colleagues and graduate students.

About this edition

• Publisher: Birkhauser
• ISBN 10: 3764336552
• ISBN 13: 9783764336554
• Binding: Hardcover