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arxiv: 1508.03254 · v3 · submitted 2015-08-13 · 🧮 math.CV · math.AP· math.DG

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A second order estimate for general complex Hessian equations

Duong H. Phong , Sebastien Picard , Xiangwen Zhang
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classification 🧮 math.CV math.APmath.DG
keywords complexequationsgeneralhessiandependingderiveestimateestimates
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We derive a priori $C^2$ estimates for the $\chi$-plurisubharmonic solutions of general complex Hessian equations with right-hand side depending on gradients.

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