Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
冯美强 教授，北京信息科技大学
Inviter:
Title:
Existence and asymptotic behavior of k-convex solutions to the k-Hessian equation
Time & Venue:
2018.11.20 14:30-15:30 N820
Abstract:
In this talk, we consider the existence and asymptotic behavior of k-convex solution to the k-Hessian equation under two cases: $u(x)=+\infty$ or u(x)=0 on $\partial \Omega$, where $\Omega$ is a smooth, bounded, strictly convex domain in RN (N\geq 2)$. Further results are obtained for the special case that $\Omega$ is a ball. Our approach is largely based on the construction of suitable sub- and super-solutions and the Karamata regular variation theory.（joint work with Xuemei Zhang）