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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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樓主
發(fā)表于 2025-3-21 16:29:21 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Critical Point Theory
副標(biāo)題Sandwich and Linking
編輯Martin Schechter
視頻videohttp://file.papertrans.cn/241/240087/240087.mp4
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
圖書封面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 Schr?dinger 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
關(guān)鍵詞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
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:29:19 | 只看該作者
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
板凳
發(fā)表于 2025-3-22 01:56:34 | 只看該作者
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.
地板
發(fā)表于 2025-3-22 08:31:34 | 只看該作者
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發(fā)表于 2025-3-22 14:39:29 | 只看該作者
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
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發(fā)表于 2025-3-22 19:16:27 | 只看該作者
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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發(fā)表于 2025-3-23 03:09:55 | 只看該作者
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.
10#
發(fā)表于 2025-3-23 05:55:45 | 只看該作者
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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