Wen-Wen Feng

Existence of nontrivial radial solutions for a class of augmented Monge-Ampère equation

In this paper, we prove the uniqueness of nontrivial radially convex solutions to the augmented Monge-Ampère equation via sharp estimates, where the augmented term is specified as negative. First, we transform the equation into an equivalent form more amenable to analysis. By constructing sharp a priori estimates on up...