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Module structure in Conley theory with some applications

Tom 101 / 2014

Zdzisław Dzedzej Banach Center Publications 101 (2014), 59-76 MSC: Primary 37B30; Secondary 35J25, 37J20, 37J45. DOI: 10.4064/bc101-0-4

Streszczenie

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.

Autorzy

  • Zdzisław DzedzejFaculty of Applied Mathematics and Theoretical Physics
    Gdańsk University of Technology
    Narutowicza 11/12
    80-233 Gdańsk, Poland
    e-mail

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