Uniqueness For Radial Solutions Of K-Hessian Equation

Elliptic partial differential equation is a kind of important partial differential equations,the existence and uniqueness of solutions are always a classical topic in the study of partial differential equations.As a class of important nonlinear partial differential equations,k-Hessian equation is of great significance to differential ge-ometry,complex analysis and many applied sciences.Furthermore,it is particularly important to study the uniqueness of its solution.In this paper,we mainly study the uniqueness of radial solutions of a class of k-Hessian equations with Dirichlet condition.The uniqueness of radial solutions is obtained by using Pohozaev-type identity and monotone separation technique.