Dirichlet problem for degenerate Hessian quotient type curvature equations

发布时间：2024-06-06 作者：浏览次数：

Speaker:	向妮	DateTime:	2024年6月15日上午09:00
Brief Introduction to Speaker: 向妮，湖北大学		Place:	M323报告厅
Abstract:In the talk, we introduce the existence and uniqueness results of the $C^{1,1}$ regular graphic hypersurface for Dirichlet problem of a class of degenerate Hessian quotient type curvature equations under the condition $\psi^{\frac{1}{k-l}}\in C^{1,1}(\overline{\Omega}\times\mathbb{R}\times\mathbb{S}^n)$. Specially, we also consider the second order derivative estimates for the corresponding degenerate Hessian type curvature equations under the optimal condition $\psi^{\frac{1}{k-1}}\in C^{1,1}(\overline{\Omega}\times\mathbb{R}\times\mathbb{S}^n)$.