most citedOn Monge-Ampere equations with homogeneous right hand side

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math.AP2007★ 2 cited

On Monge-Ampere equations with homogeneous right hand side

Pangiota Daskalopoulos, Ovidiu Savin

We study the regularity and behavior at the origin of solutions to the two-dimensional degenerate Monge-Ampere equation with homogeneous right hand side of degree alpha, alpha>-2.…

math.AP2007

Symmetry of global solutions to a class of fully nonlinear elliptic equations in 2D

D. De Silva, O. Savin

We prove that entire bounded monotone solutions to a certain class of fully nonlinear equations in 2D are one-dimensional. Our result also gives a new (non-variational) proof of th…