Abstract:In the theory of partial differential equations, the fully nonlinear degenerate elliptic equations is an important branch of it, viscosity solution is a proper method for studying fully nonlinear equations. In this paper, the properties of the viscosity solutions for a class of fully nonlinear degenerate elliptic equations F(x,u,Du,D2u)=f(x,u,Du) in general form are studied. Uniqueness for their Dirichlet problems is established.
王春柳,马飞遥. 完全非线性退化椭圆方程粘性解的唯一性[J]. 华中师范大学学报(自然科学版), 2019, 53(2): 189-192.
WANG Chunliu,MA Feiyao. Uniqueness of viscosity solutions for a class of fully nonlinear degenerate elliptic equations. journal1, 2019, 53(2): 189-192.