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math.AP2022
Serrin-type overdetermined problems for Hessian quotient equations
Zhenghuan Gao, Xiaohan Jia, Dekai Zhang
We prove the symmetry of solutions to overdetermined problems for a class of fully nonlinear equations, namely Hessian quotient equations and Hessian quotient curvature equations.…
math.AP2020
The Neumann problem of Hessian quotient equations
Chuanqiang Chen, Dekai Zhang
In this paper, we obtain some important inequalities of Hessian quotient operators, and global estimates of the Neumann problem of Hessian quotient equations. By the method o…