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Product Details 基本信息 ISBN-13 书号 9780821808733 Author 作者 Hasna Riahi Format 版本 平装-胶订 Pages Number 页数 112页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 1999-03-05 Language 语种 英语 Book Contents 内容简介 In this work, the author examines the following: When the Hamiltonian system \(m_i \ddot{q}_i + (\partial V/\partial q_i) (t,q) =0\) with periodicity condition \(q(t+T) = q(t),\; \forall t \in \mathfrak R\) (where \(q_{i} \in \mathfrak R^{\ell}\), \(\ell \ge 3\), \(1 \le i \le n\), \(q = (q_{1},...,q_{n})\) and \(V = \sum V_{ij}(t,q_{i}-q_{j})\) with \(V_{ij}(t,\xi)\) \(T\)-periodic in \(t\) and singular in \(\xi\) at \(\xi = 0\)) is posed as a variational problem, the corresponding functional does not satisfy the Palais-Smale condition and this leads to the notion of critical points at infinity. This volume is a study of these critical points
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