YANHENG DING (EN) — VARIATIONAL METHODS FOR STRONGLY INDEFINITE PROBLEMS

Тут можно читать онлайн книгу YANHENG DING (EN) - VARIATIONAL METHODS FOR STRONGLY INDEFINITE PROBLEMS - бесплатно полную версию (целиком). Жанр книги: Иностранная литература. Вы можете прочесть полную версию (весь текст) онлайн без регистрации и смс на сайте Lib-King.Ru (Либ-Кинг) или прочитать краткое содержание, аннотацию (предисловие), описание и ознакомиться с отзывами (комментариями) о произведении.

VARIATIONAL METHODS FOR STRONGLY INDEFINITE PROBLEMS
Язык книги: Английский
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VARIATIONAL METHODS FOR STRONGLY INDEFINITE PROBLEMS краткое содержание

VARIATIONAL METHODS FOR STRONGLY INDEFINITE PROBLEMS - описание и краткое содержание, автор YANHENG DING (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

This unique book focuses on critical point theory for strongly indefinite functionals in order to deal with nonlinear 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.Contents:Lipschitz Partitions of UnityDeformations on Locally Convex Topological Vector SpacesCritical Point TheoremsHomoclinics in Hamiltonian SystemsStanding Waves of Nonlinear Schrödinger EquationsSolutions of Nonlinear Dirac EquationsSolutions of a System of Diffusion EquationsReadership: Researchers and graduate students in analysis & differential equations, mathematical physics, geometry & topology, mechanics and control theory.

VARIATIONAL METHODS FOR STRONGLY INDEFINITE PROBLEMS - читать онлайн бесплатно полную версию (весь текст целиком)

VARIATIONAL METHODS FOR STRONGLY INDEFINITE PROBLEMS - читать книгу онлайн бесплатно, автор YANHENG DING (EN)

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