| 书目名称 | Variational Methods in Nonlinear Field Equations |
| 副标题 | Solitary Waves, Hylo |
| 编辑 | Vieri Benci,Donato Fortunato |
| 视频video | |
| 概述 | Provides existence and stability results for solitary waves, solitons and vortices in variational nonlinear PDE’s.Theory sufficiently general and flexible to be applied to many other situations.Applic |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists. |
| 出版日期 | Book 2014 |
| 关键词 | Solitons; Symmetry; Variational; Vortices; partial differential equations |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-06914-2 |
| isbn_softcover | 978-3-319-36122-2 |
| isbn_ebook | 978-3-319-06914-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer International Publishing Switzerland 2014 |
发表于 2025-3-21 18:21:16
