Variational Methods for Strongly Indefinite Problems - Couverture rigide

Ding, Yanheng

Couverture rigide

ISBN 10 : 9812709622 ISBN 13 : 9789812709622

Editeur : World Scientific Publishing Co Pte Ltd, 2007

Synopsis

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, Schrodinger 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.

A propos du livre

Revue de presse

This book contains a lot of material that can be useful for researchers in the field of critical point theory and its applications. --Zentralblatt MATH

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2007
• ISBN 10: 9812709622
• ISBN 13: 9789812709622
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 176
• Coordonnées du fabricant: non disponible