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arxiv: 1305.0721 · v2 · submitted 2013-05-03 · 🧮 math.FA · math.AP· math.MG

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Isocapacity Estimates for Hessian Operators

Jie Xiao , Ning Zhang
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classification 🧮 math.FA math.APmath.MG
keywords hessianinequalityisocapacityoperatorstypeanalysischou-wangdevoted
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Through a new powerful potential-theoretic analysis, this paper is devoted to discovering the geometrically equivalent isocapacity forms of Chou-Wang's Sobolev type inequality and Tian-Wang's Moser-Trudinger type inequality for the fully nonlinear $1\leq k\leq n/2$ Hessian operators.

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