Module structure in Conley theory with some applications

Zdzisław Dzedzej. "Module structure in Conley theory with some applications." Banach Center Publications 101.1 (2014): 59-76. <http://eudml.org/doc/282408>.

@article{ZdzisławDzedzej2014,
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.},
author = {Zdzisław Dzedzej},
journal = {Banach Center Publications},
keywords = {Conley index; cup-length; equivariant flow; elliptic PDE},
language = {eng},
number = {1},
pages = {59-76},
title = {Module structure in Conley theory with some applications},
url = {http://eudml.org/doc/282408},
volume = {101},
year = {2014},
}

TY - JOUR
AU - Zdzisław Dzedzej
TI - Module structure in Conley theory with some applications
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 59
EP - 76
AB - 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.
LA - eng
KW - Conley index; cup-length; equivariant flow; elliptic PDE
UR - http://eudml.org/doc/282408
ER -