Minimax Systems and Critical Point Theory
Minimax Systems and Critical Point Theory
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DOI：
10.1007/978-0-8176-4902-9
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发表时间：
2009-06
期刊：
影响因子：
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通讯作者：
M. Schechter
中科院分区：
文献类型：
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作者：
M. Schechter
科学和工程中的许多问题都涉及微分方程或微分系统的求解。求解非线性方程最成功的方法之一是确定相应泛函的临界点。近年来，临界点的研究发展迅速，并在其他科学学科中产生了新的应用。这本专著继续这一主题和研究新的结果发现，因为作者的前一本书题为链接方法在临界点理论。写在一个明确的，顺序的论述，主题包括半线性问题，Fucik谱，多维非线性波动方程，椭圆系统，和三明治对，等等。通过大量的例子和应用，这本书解释了极大极小系统的基本重要性，并描述了链接方法如何融入框架。
Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly in recent years and has led to new applications in other scientific disciplines. This monograph continues this theme and studies new results discovered since the author's preceding book entitled Linking Methods in Critical Point Theory.Written in a clear, sequential exposition, topics include semilinear problems, Fucik spectrum, multidimensional nonlinear wave equations, elliptic systems, and sandwich pairs, among others. With numerous examples and applications, this book explains the fundamental importance of minimax systems and describes how linking methods fit into the framework.