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Local and global bifurcation results for a nonlinear elliptic system

主讲人 :王志强 教授(美国犹他州立大学)

时   间:12月23日(周三)下午15:00-16:00

地   点数学科学学院 412 教室

Abstract: We discuss some recent results on local and global bifurcation structure for a nonlinear system of Schr\"odinger type equations. The results give multiplicity of positive bound state solutions of the system in the repulsive case. The methods involve linear spectrum analysis, Rabinowitz's global bifurcation theorem, and a new Liouville type theorem for nonlinear elliptic systems which provides a-priori bounds of solution branches. This is a joint work with T. Bartsch and N. Dancer.

 

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