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Variational methods for strongly indefinite problems

Author: Yanheng Ding
Publisher: Singapore ; Hackensack, NJ : World Scientific, ©2007.
Series: Interdisciplinary mathematical sciences, v. 7.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This unique book focuses on critical point theory for strongly indefinite functionals aiming to deal with nonlinear variational problems arising from physics, mechanics, economics, etc. 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,  Read more...
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Additional Physical Format: Online version:
Ding, Yanheng.
Variational methods for strongly indefinite problems.
Singapore ; Hackensack, NJ : World Scientific, ©2007
(OCoLC)654337127
Document Type: Book
All Authors / Contributors: Yanheng Ding
ISBN: 9789812709622 9812709622
OCLC Number: 166390736
Description: viii, 168 pages : illustrations ; 26 cm.
Contents: Lipschitz partitions of unity --
Deformations on locally convex topological vector spaces --
Critical point theorems --
Homoclinics in Hamiltonian systems --
Standing waves of nonlinear Schrödinger equations --
Solutions of nonlinear Dirac equations --
Solutions of a system of diffusion equations.
Series Title: Interdisciplinary mathematical sciences, v. 7.
Responsibility: Yanheng Ding.

Abstract:

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. This book presents a  Read more...

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   schema:reviewBody ""This unique book focuses on critical point theory for strongly indefinite functionals aiming to deal with nonlinear variational problems arising from physics, mechanics, economics, etc. 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, it presents for the first time a deformation theory in locally convex topological vector spaces (LCTVS). The book then offers satisfying variational settings for homoclinic type solutions to Hamiltonian systems, Schrodinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems."--Jacket." ;
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