Variational Methods For Strongly Indefinite Problems
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A01=Yanheng Ding
Author_Yanheng Ding
Category=PBWR
Critical Point Theory
Deformations
Diffusion System
Dirac Equation
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Gage Space
Hamiltonian System
Lipschitz Normality
SchrAfA?dinger Equation
Schrodinger Equation
Schrödinger Equation
Product details
- ISBN 9789812709622
- Publication Date: 15 Aug 2007
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
