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Bestseller
BestsellerE-book
Author Ding, Yanheng.

Title Variational methods for strongly indefinite problems / Yanheng Ding.

Publication Info. Singapore ; Hackensack, NJ : World Scientific, [2007]
©2007

Item Status

Description 1 online resource (viii, 168 pages) : illustrations.
Physical Medium polychrome
Description text file
Series Interdisciplinary mathematical sciences ; v. 7
Interdisciplinary mathematical sciences ; v. 7.
Bibliography Includes bibliographical references (pages 161-166) and index.
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.
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, 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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Calculus of variations.
Calculus of variations.
Diophantine equations.
Diophantine equations.
Genre/Form Electronic books.
Electronic books.
Other Form: Print version: Ding, Yanheng. Variational methods for strongly indefinite problems. Singapore ; Hackensack, NJ : World Scientific, ©2007 9789812709622 (DLC) 2008295002 (OCoLC)166390736
ISBN 9789812709639 (electronic book)
9812709630 (electronic book)
9789812709622
9812709622