Bin Zhou

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20222026

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math.AP2023

Sobolev inequalities and regularity of the linearized complex Monge-Ampere and Hessian equations

Jiaxiang Wang, Bin Zhou

Let $u$ be a smooth, strictly $k$ -plurisubharmonic function on a bounded domain $Ω \in C^{n}$ with $2 \leq k \leq n$ . The purpose of this paper is to study the regularity of solu…

math.AP2022

Trace Inequalities, isocapacitary inequalities and regularity of the complex Hessian equations

Jiaxiang Wang, Bin Zhou

In this paper, we study the relations between trace inequalities(Sobolev and Moser-Trudinger type), isocapacitary inequalities and the regularity of the complex Hessian and Monge-A…