Isocapacity Estimates for Hessian Operators
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≤ k≤ n/2 Hessian operators.
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