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Book Cover
E-book
Author Ding, Yanheng.

Title Variational methods for strongly indefinite problems / Yanheng Ding
Published Singapore ; Hackensack, NJ : World Scientific, [2007]
©2007
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Description 1 online resource (viii, 168 pages) : illustrations
Series Interdisciplinary mathematical sciences ; v. 7
Interdisciplinary mathematical sciences ; v. 7
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
Bibliography Includes bibliographical references (pages 161-166) and index
Notes Print version record
Subject Calculus of variations.
Diophantine equations.
Form Electronic book
ISBN 9789812709639 (electronic bk.)
9812709630 (electronic bk.)