Generalized Monge-Amp\`ere capacities
Complex Variables
2014-02-12 v1 Analysis of PDEs
Differential Geometry
Abstract
We study various capacities on compact K\"{a}hler manifolds which generalize the Bedford-Taylor Monge-Amp\`ere capacity. We then use these capacities to study the existence and the regularity of solutions of complex Monge-Amp\`ere equations.
Cite
@article{arxiv.1402.2497,
title = {Generalized Monge-Amp\`ere capacities},
author = {Eleonora Di Nezza and Chinh H. Lu},
journal= {arXiv preprint arXiv:1402.2497},
year = {2014}
}