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math.AP2024
Symmetry of Convex Solutions to Fully Nonlinear Elliptic Systems: Bounded Domains
Weijun Zhang, Zhitao Zhang
In this paper, we are concerned with the monotonic and symmetric properties of convex solutions to fully nonlinear elliptic systems. We mainly discuss Monge-Ampère type systems for…
math.AP2024
Symmetry of Convex Solutions to Fully Nonlinear Elliptic Systems: Unbounded Domains
Weijun Zhang, Zhitao Zhang
In this paper, we are concerned with the monotonic and symmetric properties of convex solutions Monge-Ampère systems for instance, considering \begin{equation*} \det(D^2u^i)=f^i(x,…