| 書目名稱 | Elements of Nonlinear Analysis | | 編輯 | Michel Chipot | | 視頻video | http://file.papertrans.cn/308/307618/307618.mp4 | | 叢書名稱 | Birkh?user Advanced Texts‘ Basler Lehrbücher | | 圖書封面 |  | | 描述 | The goal of this book is to present some modern aspects of nonlinear analysis. Some of the material introduced is classical, some more exotic. We have tried to emphasize simple cases and ideas more than complicated refinements. Also, as far as possible, we present proofs that are not classical or not available in the usual literature. Of course, only a small part of nonlinear analysis is covered. Our hope is that the reader - with the help of these notes - can rapidly access the many different aspects of the field. We start by introducing two physical issues: elasticity and diffusion. The pre- sentation here is original and self contained, and helps to motivate all the rest of the book. Then we turn to some theoretical material in analysis that will be needed throughout (Chapter 2). The next six chapters are devoted to various aspects of elliptic problems. Starting with the basics of the linear theory, we introduce a first type of nonlinear problem that has today invaded the whole mathematical world: variational inequalities. In particular, in Chapter 6, we introduce a simple theory of regularity for nonlocal variational inequalities. We also attack the question of the existence, u | | 出版日期 | Textbook 2000 | | 關(guān)鍵詞 | Calculus of Variations; Distribution; Euler–Lagrange equation; Numerical analysis; applied mathematics; f | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8428-0 | | isbn_softcover | 978-3-0348-9563-7 | | isbn_ebook | 978-3-0348-8428-0Series ISSN 1019-6242 Series E-ISSN 2296-4894 | | issn_series | 1019-6242 | | copyright | Springer Basel AG 2000 |
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