Module structure in Conley theory with some applications

• Autorzy: Zdzisław Dzedzej
• Języki publikacji: EN

Abstrakty

EN

A multiplicative structure in the cohomological version of Conley index is described following a joint paper by the author with K. Gęba and W. Uss. In the case of equivariant flows we apply a normalization procedure known from equivariant degree theory and we propose a new continuation invariant. The theory is applied then to obtain a mountain pass type theorem. Another illustrative application is a result on multiple bifurcations for some elliptic PDE.

Kategorie tematyczne

• 37J45: Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods
• 37J20: Bifurcation problems
• 35J25: Boundary value problems for second-order elliptic equations
• 37B30: Index theory, Morse-Conley indices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 101
• Numer: 1
• Strony: 59-76

Daty

wydano

2014

Twórcy

autor

Zdzisław Dzedzej

• Faculty of Applied Mathematics and Theoretical Physics, Gdańsk University of Technology, Narutowicza 11/12, 80-233 Gdańsk, Poland

Identyfikatory

DOI

10.4064/bc101-0-4