| 书目名称 | Perturbation Methods and Semilinear Elliptic Problems on R^n | | 编辑 | Antonio Ambrosetti,Andrea Malchiodi | | 视频video | | | 概述 | Winner of the Ferran Sunyer i Balaguer Prize 2005.Discussion of the abstract tool of perturbation methods in critical point theory in a form not contained in any other book.Treatment of various applic | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | Several important problems arising in Physics, Di?erential Geometry and other n topics lead to consider semilinear variational elliptic equations on R and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that the tools of Nonlinear Functional Analysis, based on compactness arguments, in general cannot be used, at least in a straightforward way, and some new techniques have to be developed. n On the other hand, there are several elliptic problems on R which are p- turbative in nature. In some cases there is a natural perturbation parameter, like inthe bifurcationfromthe essentialspectrum orinsingularlyperturbed equations or in the study of semiclassical standing waves for NLS. In some other circ- stances, one studies perturbations either because this is the ?rst step to obtain global results or else because it often provides a correct perspective for further global studies. For these perturbation problems a speci?c approach,that takes advantage of such a perturbative setting, seems the most appropriate. These abstract tools are provided by perturbation methods in critical point theory. Actually, it turns | | 出版日期 | Book 2006 | | 关键词 | Partial differential equations; Perturbation; Semilinear elliptic problems; compactness; differential eq | | 版次 | 1 | | doi | https://doi.org/10.1007/3-7643-7396-2 | | isbn_ebook | 978-3-7643-7396-2Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkhäuser Basel 2006 |
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发表于 2025-3-21 18:40:23
