Nonlinear analysis - theory and methods

• 作者： Papageorgiou, Nikolaos S., author.
• 其他作者：
  • Radulescu, Vicentiu D., author.
  • Repovs, Dusan D., author.
  • SpringerLink (Online service)
• 其他題名：
  • Springer monographs in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Springer monographs in mathematics,
• 主題： Nonlinear theories. , Partial Differential Equations. , Mathematical Physics. , Functional Analysis. , Global Analysis and Analysis on Manifolds. , Calculus of Variations and Optimal Control; Optimization. , Mathematical Applications in the Physical Sciences.
• ISBN： 9783030034306 (electronic bk.) 、 9783030034290 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Preface -- 1.Sobolev Spaces -- 2.Compact Operators and Operators of Monotone Type -- 3.Degree Theories -- 4.Partial Order, Fixed Point Theory, Variational Pronciples -- 5.Critical Point Theory -- 6.Morse Theory and Critical Groups -- References -- Index.
• More
• 摘要註: This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.
• 讀者標籤：

  需登入
• 引用連結：

  Copy Link
• 目前引用數
• Share: