Isocapacity Estimates for Hessian Operators

الأصل · EN

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.