The Neumann problem for a class of mixed complex Hessian equations

Chuan-Qiang Chen; Li Chen; Ni Xiang

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The Neumann problem for a class of mixed complex Hessian equations

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arxiv 2003.06147 v1 pith:UUEYYR4I submitted 2020-03-13 math.AP

The Neumann problem for a class of mixed complex Hessian equations

Chuan-Qiang Chen , Li Chen , Ni Xiang This is my paper

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keywords globalclasscomplexequationsestimateestimateshessianmixed

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In this paper, we consider the Neumann problem of a class of mixed complex Hessian equations, and establish the global C^1 estimates a nd reduce the global second derivative estimate to the estimate of double normal second derivatives on the boundary. In particular, we can prove the global C^2 estimates and the existence theorems when k=n.

The Neumann problem for a class of mixed complex Hessian equations

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