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Titlebook: Research Topics in Analysis, Volume II; Applications Shouchuan Hu,Nikolaos S. Papageorgiou Textbook 2024 The Editor(s) (if applicable) and

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发表于 2025-3-21 16:18:45 | 显示全部楼层 |阅读模式
书目名称Research Topics in Analysis, Volume II
副标题Applications
编辑Shouchuan Hu,Nikolaos S. Papageorgiou
视频video
概述Presents a set of relevant applications for understanding modern analysis.Introduces suitable frameworks for immediate application.Provides valuable resource for both mature graduate students and expe
丛书名称Birkhäuser Advanced Texts‘ Basler Lehrbücher
图书封面Titlebook: Research Topics in Analysis, Volume II; Applications Shouchuan Hu,Nikolaos S. Papageorgiou Textbook 2024 The Editor(s) (if applicable) and
描述.This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfields of this broad subject and introduces relevant frameworks for immediate deployment...The applications list begins with Degree Theory, a useful tool for studying nonlinear equations. Chapter 2 deals with Fixed Point Theory, and Chapter 3 introduces Critical Point Theory. Chapter 4 presents the main spectral properties of linear, nonlinear, anisotropic, and double-phase differential operators. Chapter 5 covers semilinear and nonlinear elliptic equations with different boundary conditions, while Chapter 6 addresses dynamic systems monitored by ordinary and partial differential equations. Chapter 7 delves into optimal control problems, and Chapter 8 discusses some economic models, providing a brief presentation of Game Theory and Nash equilibrium...By offering a clear and comprehensive overview of modern analysis tools and applications, this work can greatly benefit mature graduate students seeking research topics, as well as experienced researchers interested in this vast and rich fiel
出版日期Textbook 2024
关键词functional analysis; convex analysis; measure theory; Banach space theory; function spaces; Lebesgue spac
版次1
doihttps://doi.org/10.1007/978-3-031-64189-3
isbn_softcover978-3-031-64191-6
isbn_ebook978-3-031-64189-3Series ISSN 1019-6242 Series E-ISSN 2296-4894
issn_series 1019-6242
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 22:52:10 | 显示全部楼层
Shouchuan Hu,Nikolaos S. PapageorgiouPresents a set of relevant applications for understanding modern analysis.Introduces suitable frameworks for immediate application.Provides valuable resource for both mature graduate students and expe
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978-3-031-64191-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Degree Theory,inite dimensional extension, which is the Leray-Schauder degree. In Sect. 1.3, we examine the degrees for certain maps of monotone type, which appear in many boundary value problems. Finally, in Sect. 1.4, we see how the previous degrees can be extended to deal with multifunctions.
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Calculus Of Variations,integral functionals. This also leads to a brief presentation of the theory of Young measures. We also develop the Euler-Lagrange equation and discuss the Lavrentiev gap phenomenon. In Sect. 7.2, we deal with optimal control problems involving maximal monotone operators in their dynamics(unilateral constraints).
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