Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equation

New Results on the Radial Solutions to a Class of Nonlinear k‐Hessian System

“…It is easy to observe that S k (λ(D 2 z)) is a family of operators including many well-known operators. For example, for k � 1, S 1 (λ(D 2 z)) is Laplace operator, which is studied widely in [15][16][17][18][19], for k � N, S N (λ(D 2 z)) is Monge-Ampère operator, which is studied extensively in [20][21][22][23][24][25][26]. e k-Hessian equations play an important role in differential geometry [27,28].…”

Euclidean Complete Hypersurfaces of a Monge-Ampere Equation

“…This result was later generalized to Hessian equations by Huang in [14], and was generalized to Monge-Ampère equations with weight by Zhang, Du-Zhang in [9,26,28]. See also [10,20,27] for some other extensions.…”