| 期刊全稱 | An Introduction to Nonlinear Functional Analysis and Elliptic Problems | | 影響因子2023 | Antonio Ambrosetti,David Arcoya | | 視頻video | http://file.papertrans.cn/156/155396/155396.mp4 | | 發(fā)行地址 | Provides the basic, abstract tools used in nonlinear analysis.Key results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, L | | 學(xué)科分類(lèi) | Progress in Nonlinear Differential Equations and Their Applications | | 圖書(shū)封面 |  | | 影響因子 | .This self-contained textbook provides the basic, abstract?tools?used in?nonlinear analysis?and their applications to semilinear elliptic boundary value problems.?By first?outlining the advantages and disadvantages of each method, this comprehensive text?displays how various?approaches?can easily be?applied?to a range of model cases..An Introduction to Nonlinear Functional Analysis and Elliptic Problems.?is divided into two parts: the first discusses key?results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, Leray–Schauder degree, critical point theory, and bifurcation theory; the second part shows how these abstract results apply to Dirichlet elliptic boundary value problems. The exposition is driven by numerous prototype problems and exposes a variety of approaches to?solving them..Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a?practical text for an introductory course or seminar on nonlinear functional analysis.. | | Pindex | Textbook 2011 |
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