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math.AP2021
Viscosity solutions to complex first eigenvalue equations
Soufian Abja
We study the viscosity solutions to the first eigenvalue equation. We consider a bounded B-regular domain in and we prove that the Dirichlet problem $Λ_{1}(D_{\m…
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…