Local and global bifurcation results for a nonlinear elliptic system
Time: 2009-12-10
Published By:
Speaker(s): 王志强教授 Utah State University
Time: 00:00-00:00 December 10, 2009
Venue: 资源大厦1328教室
几何分析研讨班
题目： Local and global bifurcation results for a nonlinear elliptic system
报告人：王志强教授 Utah State University
时间：12月10日(周四) 下午4:00-5:00
地点：资源大厦1328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.
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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