ENGLISH

Variational Methods for Strongly Indefinite Problems

By Ding Yangeng

Book information

Publisher
World Scientific Pub Co (
Year
2007
ISBN
9812709622, 9789812709622
Open Library ID
OL13170047M
Language
english
Format
PDF
Filesize
2 MB (1585415 bytes)
Series
Interdisciplinary Mathematical Sciences
Pages
177\177
Time added
2011-01-06 10:13:16

Description

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 to Hamiltonian systems, Schrödinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems. The concepts and methods used open up new topics worthy of in-depth exploration, and link the subject with other branches of mathematics, such as topology and geometry, providing a perspective for further studies in these areas. The analytical framework can be used to handle more infinite-dimensional Hamiltonian systems.

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