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Titlebook: Critical Point Theory; Sandwich and Linking Martin Schechter Book 2020 The Editor(s) (if applicable) and The Author(s), under exclusive lic

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发表于 2025-3-21 16:29:21 | 显示全部楼层 |阅读模式
书目名称Critical Point Theory
副标题Sandwich and Linking
编辑Martin Schechter
视频video
概述Collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points.Presents numerous applications of critical point theory to important problems in
图书封面Titlebook: Critical Point Theory; Sandwich and Linking Martin Schechter Book 2020 The Editor(s) (if applicable) and The Author(s), under exclusive lic
描述This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author’s own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book will serve as an invaluable resource for exploring recent developments in this active area of research, as well as the numerous ways in which critical point theory can be applied..Different methods for finding critical points are presented in the first six chapters. The specific situations in which these methods are applicable is explained in detail. Focus then shifts toward the book’s main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout..Critical Point Theory. will be ideal for graduate students and researchers interested in solving differential equati
出版日期Book 2020
关键词Critical point theory; Critical point calculus; Critical point theory applications; Variational methods
版次1
doihttps://doi.org/10.1007/978-3-030-45603-0
isbn_softcover978-3-030-45605-4
isbn_ebook978-3-030-45603-0
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 20:29:19 | 显示全部楼层
Book 2020, boundary value problems, and equations with multiple solutions. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout..Critical Point Theory. will be ideal for graduate students and researchers interested in solving differential equati
发表于 2025-3-22 01:56:34 | 显示全部楼层
Global Solutions, no negative eigenvalues, a finite number of negative eigenvalues, or an infinite number of negative eigenvalues. If there are an infinite number of negative eigenvalues, they will converge to 0. In each case we obtain nontrivial solutions. We also obtain least energy solutions.
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发表于 2025-3-22 14:39:29 | 显示全部楼层
plications of critical point theory to important problems inThis monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author’s own contributions, a range of proofs are conveniently collected here, Bec
发表于 2025-3-22 19:16:27 | 显示全部楼层
e to provide a reasonable list of linking sets at the end of Chap. ., but we have not yet been able to do so for sandwich sets. In this chapter we shall focus our attention on this matter. It turns out that we can obtain a lot of help from the theory of linking sets.
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发表于 2025-3-23 03:09:55 | 显示全部楼层
Zero in the Spectrum,s of our theorems depended on . and . using the fact that 0 was embedded in . The purpose of the present chapter is to study the situation when 0 is a boundary point of . and the arguments do not work.
发表于 2025-3-23 05:55:45 | 显示全部楼层
Linking Sandwich Sets,e to provide a reasonable list of linking sets at the end of Chap. ., but we have not yet been able to do so for sandwich sets. In this chapter we shall focus our attention on this matter. It turns out that we can obtain a lot of help from the theory of linking sets.
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