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math.AP2021
Local regularity for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation
Soufian Abja, Guillaume Olive
In this paper, we establish a local regularity result for solutions to complex degenerate nonlinear elliptic equations when they…
math.AP2020
Uniform estimates for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation
Soufian Abja, Sławomir Dinew, Guillaume Olive
We prove sharp uniform estimates for strong supersolutions of a large class of fully nonlinear degenerate elliptic complex equations. Our findings rely on ideas of Kuo and Trudinge…