Isocapacity Estimates for Hessian Operators

Published 3 May 2013 in math.FA, math.AP, and math.MG | (1305.0721v2)

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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