Abstract
This chapter contains three sections. In the first one we give the functional setting and discuss the main difficulties which arise when dealing with singular potentials. In particular we introduce in Section 5 the “Strong Force” assumption which permits us to control the behavior of the action functional near loops which cross the singularity while the last section is devoted to discussing the notion of collision solutions.
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© 1993 Springer Science+Business Media New York
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Ambrosetti, A., Zelati, V.C. (1993). Singular Potentials. In: Periodic Solutions of Singular Lagrangian Systems. Progress in Nonlinear Differential Equations and Their Applications, vol 10. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0319-3_2
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DOI: https://doi.org/10.1007/978-1-4612-0319-3_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6705-8
Online ISBN: 978-1-4612-0319-3
eBook Packages: Springer Book Archive