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 existenceuniqueness 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 161166) and index 
Notes 
Print version record 
Subject 
Calculus of variations.


Diophantine equations.

Form 
Electronic book

ISBN 
9789812709639 (electronic bk.) 

9812709630 (electronic bk.) 
