Isocapacity Estimates for Hessian Operators

Jie Xiao; Ning Zhang

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arXiv · 1305.0721

Isocapacity Estimates for Hessian Operators

Jie Xiao·Ning Zhang

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Abstract

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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BibTeX RIS

Jie Xiao, Ning Zhang. 2014-04-13. Isocapacity Estimates for Hessian Operators. https://arxiv.org/abs/1305.0721

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