书目名称 | Nonlinear Elliptic Partial Differential Equations |
副标题 | An Introduction |
编辑 | Hervé Le Dret |
视频video | http://file.papertrans.cn/668/667474/667474.mp4 |
概述 | Introduces several mathematical techniques relevant to solving boundary value problems involving nonlinear elliptic PDEs.Provides the essentials of test-function and distribution spaces.Includes 44 ex |
丛书名称 | Universitext |
图书封面 |  |
描述 | .This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations..After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations.. .Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.. |
出版日期 | Textbook 2018 |
关键词 | nonlinear elliptic partial differential equations; fixed point theorems; fixed point theorems applicat |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-78390-1 |
isbn_softcover | 978-3-319-78389-5 |
isbn_ebook | 978-3-319-78390-1Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer International Publishing AG, part of Springer Nature 2018 |