Variational methods for strongly indefinite problems / Yanheng Ding.

Format:

Book

Author/Creator:

Yanheng, Ding.

Series:

Interdisciplinary Mathematical Sciences

Interdisciplinary mathematical sciences ; v. 7

Language:

English

Subjects (All):

Calculus of variations.

Diophantine equations.

Physical Description:

1 online resource (176 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2007.

Language Note:

English

Summary:

This unique book 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. 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, the book presents for the first time a deformation theory in locally convex topological vector spaces. It also offers satisfying variational settings for homoclinic-type solutions

Contents:

1. Introduction

2. Lipschitz partitions of unity

3. Deformations on locally convex topological vector spaces

4. Critical point theorems

5. Homoclinics in Hamiltonian systems

6. Standing waves of nonlinear Schrodinger equations

7. Solutions of nonlinear Dirac equations

8. Solutions of a system of diffusion equations.

Notes:

Description based upon print version of record.

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

ISBN:

9786611918866

9781281918864

1281918865

9789812709639

9812709630

OCLC:

826660609