书目名称 | Elliptic Partial Differential Equations of Second Order | 编辑 | David Gilbarg,Neil S. Trudinger | 视频video | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | 图书封面 |  | 描述 | This volume is intended as an essentially self contained exposition of portions of the theory of second order quasilinear elliptic partial differential equations, with emphasis on the Dirichlet problem in bounded domains. It grew out of lecture notes for graduate courses by the authors at Stanford University, the final material extending well beyond the scope of these courses. By including preparatory chapters on topics such as potential theory and functional analysis, we have attempted to make the work accessible to a broad spectrum of readers. Above all, we hope the readers of this book will gain an appreciation of the multitude of ingenious barehanded techniques that have been developed in the study of elliptic equations and have become part of the repertoire of analysis. Many individuals have assisted us during the evolution of this work over the past several years. In particular, we are grateful for the valuable discussions with L. M. Simon and his contributions in Sections 15.4 to 15.8; for the helpful comments and corrections of J. M. Cross, A. S. Geue, J. Nash, P. Trudinger and B. Turkington; for the contributions of G. Williams in Section 10.5 and of A. S. Geue in Section | 出版日期 | Book 19771st edition | 关键词 | differential equation; functional analysis; partial differential equation; potential theory | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-96379-7 | isbn_ebook | 978-3-642-96379-7Series ISSN 0072-7830 Series E-ISSN 2196-9701 | issn_series | 0072-7830 | copyright | Springer-Verlag Berlin Heidelberg 1977 |
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