Variational Methods for Strongly Indefinite Problems: 7 - Rilegato

Ding, Yanheng

Rilegato

ISBN 10: 9812709622 ISBN 13: 9789812709622

Casa editrice: World Scientific Pub Co Inc, 2007

Riassunto

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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Recensione

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

Product Description

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Dettagli dell'edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 9812709622
• ISBN 13: 9789812709622
• Rilegatura: Copertina rigida
• Numero di pagine: 168
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile