Variational methods for strongly indefinite problems
Calculus of variations Diophantine equations e-böcker
World Scientific
2007
EISBN 9789812709639
Lipschitz partitions of unity.
Deformations on locally convex topological vector spaces.
Critical point theorems.
Homoclinics in Hamiltonian systems.
Standing waves of nonlinear Schrödinger equations.
Solutions of nonlinear Dirac equations.
Solutions of a system of diffusion equations.
"This unique book focuses on critical point theory for strongly indefinite functionals aiming to deal with nonlinear variational problems arising from physics, mechanics, economics, etc. 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, it presents for the first time a deformation theory in locally convex topological vector spaces (LCTVS). The book then 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."--BOOK JACKET.
Deformations on locally convex topological vector spaces.
Critical point theorems.
Homoclinics in Hamiltonian systems.
Standing waves of nonlinear Schrödinger equations.
Solutions of nonlinear Dirac equations.
Solutions of a system of diffusion equations.
"This unique book focuses on critical point theory for strongly indefinite functionals aiming to deal with nonlinear variational problems arising from physics, mechanics, economics, etc. 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, it presents for the first time a deformation theory in locally convex topological vector spaces (LCTVS). The book then 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."--BOOK JACKET.
