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# Variational Methods for Strongly Indefinite Problems｜Ding 丁彥恆

## 價格

目前價格：NT$350

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可售數量：1

資料時間：2026-08-28T05:56:16.170Z

## 分類

分類名稱：理工醫

分類路徑：

圖書/影音/文具 > 圖書與雜誌 > 教育/考試用書 > 教科書 > 大專/大學用書 > 理工醫

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## 商品描述

約2021年於台北的二手書店購入

外觀保存如圖

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ISBN : 981-270-962-2

Pages: 176

 Contents:

- Lipschitz Partitions of Unity
- Deformations on Locally Convex Topological Vector Spaces
- Critical Point Theorems
- Homoclinics in Hamiltonian Systems
- Standing Waves of Non Schrödinger Equations
- Solutions of Non Dirac Equations
- Solutions of a System of Diffusion Equations
- -

This unique book focuses on critical point theory for strongly indefinite functionals in order to deal with non variational problems in areas such as physics, mechanics and economics. With the original ingredients of Lipschitz partitions of unity of gage spaces (nonmetrizable spaces), Lipschitz normality, and sufficient conditions for the normality, as well as existence-uniqueness of flow of ODE on gage spaces, the book presents for the first time a deformation theory in locally convex topological vector spaces. It also offers satisfying variational settings for homoclinic-type solutions to Hamiltonian systems, Schrödinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems. The concepts and methods used open up new topics worthy of in-depth exploration, and link the subject with other branches of mathematics, such as topology and geometry, providing a perspective for further studies in these areas. The analytical framework can be used to handle more infinite-dimensional Hamiltonian systems.
Readership: Researchers and graduate students in analysis & differential equations, mathematical physics, geometry & topology, mechanics and control theory.

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