Isocapacity Estimates for Hessian Operators
arXiv:1305.0721
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 Hessian operators.
23 pages, 5 figures