Isocapacity Estimates for Hessian Operators
Functional Analysis
2014-04-15 v2 Analysis of PDEs
Metric Geometry
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.
Cite
@article{arxiv.1305.0721,
title = {Isocapacity Estimates for Hessian Operators},
author = {Jie Xiao and Ning Zhang},
journal= {arXiv preprint arXiv:1305.0721},
year = {2014}
}
Comments
23 pages, 5 figures