Complex Monge-Amp\`ere equations with oblique boundary value
  The existence and regularity of the classical plurisubharmonic solution for complex Monge-Amp\`ere equations subject to the semilinear oblique boundary condition which is C^1 perturbation of the Neumann boundary condition, are proved in the certain strictly pseudoconvex domain in C^n. 
Ni Xiang and Xiaoping Yang
math.AP