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math.AP2022
Liouville property and existence of entire solutions of Hessian equations
Cong Wang, Jiguang Bao
In this paper, we establish the existence and uniqueness theorem for entire solutions of Hessian equations with prescribed asymptotic behavior at infinity. This extends the previou…
math.AP2022
Asymptotic behavior of solutions to the Monge--Ampère equations with slow convergence rate at infinity
Zixiao Liu, Jiguang Bao
We consider the asymptotic behavior of solutions to the Monge--Ampère equations with slow convergence rate at infinity and fulfill previous results under faster convergence rate by…
math.AP2022★ 1 cited
Asymptotic expansion of 2-dimensional gradient graph with vanishing mean curvature at infinity
Zixiao Liu, Jiguang Bao
In this paper, we establish the asymptotic expansion at infinity of gradient graph in dimension 2 with vanishing mean curvature at infinity. This corresponds to our previous result…