2 papers
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.AP2022
Serrin-type Overdetermined problems in
Zhenghuan Gao, Xiaohan Jia, Jin Yan
In this paper, we prove the symmetry of the solution to overdetermined problem for the equation in hyperbolic space. Our approach is based on establishing a Re…