Variational Methods for Strongly Indefinite Problems

Yanheng Ding

ISBN 10: 9812709622 / ISBN 13: 9789812709622

Editore: World Scientific Publishing Company, 2007

New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Codice articolo ABEJUNE24-292104

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.

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

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Titolo: Variational Methods for Strongly Indefinite ...
Casa editrice: World Scientific Publishing Company
Data di pubblicazione: 2007
Legatura: Rilegato
Condizione: Brand New