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Local and global bifurcation results for a nonlinear elliptic system
2009-12-09
来源:科技处 点击次数: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.