Home

NONUNIQUENESS FOR A FULLY NONLINEAR BOUNDARY YAMABE-TYPE PROBLEM VIA BIFURCATION THEORY
2018-06-26 00:00:00

报告题目:

NONUNIQUENESS FOR A FULLY NONLINEAR BOUNDARY YAMABE-TYPE PROBLEM VIA BIFURCATION THEORY

报 告 人:

王一 (Johns Hopkins University)

报告时间:

2018年06月27-29日 10:00--11:00

报告地点:

理学院东北楼二楼报告厅(209)

报告摘要:

We consider $sigma_k$-curvature equation with $H_k$-curvature condition on a compact manifold with boundary $(X^{n+1}, M^n, g)$. When restricting to the closure of the positive $k$-cone, this is a fully nonlinear elliptic equation with a fully nonlinear Robin-type boundary condition. We prove a general bifurcation theorem in order to study nonuniqueness of solutions when $2k