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Variational methods for strongly indefinite problems / Yanheng Ding.

By: Material type: TextTextSeries: Interdisciplinary mathematical sciences ; v. 7.Publication details: Singapore ; Hackensack, NJ : World Scientific, ©2007.Description: 1 online resource (viii, 168 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789812709639
  • 9812709630
Subject(s): Additional physical formats: Print version:: Variational methods for strongly indefinite problems.DDC classification:
  • 515/.64 22
LOC classification:
  • QA315 .D56 2007eb
Online resources:
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.
Review: "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
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references (pages 161-166) and index.

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.

"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

Print version record.

Added to collection customer.56279.3

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