Module structure in Conley theory with some applications
Volume 101 / 2014
Banach Center Publications 101 (2014), 59-76
MSC: Primary 37B30; Secondary 35J25, 37J20, 37J45.
DOI: 10.4064/bc101-0-4
Abstract
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.
