Gradient Equivariant Degree and its Applications to Asymptotically Linear Variational Systems
主 题: Gradient Equivariant Degree and its Applications to Asymptotically Linear Variational Systems
报告人: Prof. Wieslaw Krawcewicz (University of Alberta, Canada)
时 间: 2008-05-26 下午 2:40
地 点: 一教203
I would present some recent results related to the computations of the Euler
ring structure $U(G)$ in the case $G=\\Gamma\\times S^1$, with $\\Gamma$ being
comact Lie groups, its connection to the $A(\\Gamma)$-module structure
$A_1^t(G)$ (generated by he twisted orbit types) and some formulae for the
computations of the gradient $G$-degree. The obtained results will be applied
to study the existence of periodic solutions to an elliptic (variational)
asymptotically linear equation with $O(2)$-symmetries $O(2)$.