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arxiv: 1403.3536 · v1 · pith:2K4RPSINnew · submitted 2014-03-14 · 🧮 math.AP

Complex Monge-Amp\`ere equations with oblique boundary value

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keywords boundarycomplexconditionequationsmonge-ampobliquecertainclassical
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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.

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