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Morse theory for strongly indefinite functional

✍ Scribed by Y.X. Guo; J.Q. Liu

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
176 KB
Volume
48
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

A new morse index theory for strongly in
A new morse index theory for strongly indefinite functionals
✍ Yuxia Guo; Jiaquan Liu; Pingan Zeng πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 299 KB

In this paper, a new Morse index theory for strongly indeΓΏnite functionals was developed via G alerkin approximation. In particular, the abstract theory is valid for those kinds of strongly indeΓΏnite functionals corresponding to wave equation and beam equation.

Spectral Flow and Bifurcation of Critica
Spectral Flow and Bifurcation of Critical Points of Strongly-Indefinite Functionals Part I. General Theory
✍ Patrick M Fitzpatrick; Jacobo Pejsachowicz; Lazaro Recht πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 274 KB

Spectral flow is a well-known homotopy invariant of paths of selfadjoint Fredholm operators. We describe here a new construction of this invariant and prove the following theorem: Let : I\_U Γ„ R be a C 2 function on the product of a real interval I=[a, b] with a neighborhood U of the origin of a rea