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On the regularity of the complex Hessian equation

Complex Variables 2021-10-07 v1 Analysis of PDEs Differential Geometry

Abstract

This note aims to investigate the regularity of a solution to the Dirichlet problem for the complex Hessian equation, which has a density of the mm-Hessian measure that belongs to LqL^q, for qnmq\leq\frac nm.

Keywords

Cite

@article{arxiv.2110.02620,
  title  = {On the regularity of the complex Hessian equation},
  author = {Per Ahag and Rafal Czyz},
  journal= {arXiv preprint arXiv:2110.02620},
  year   = {2021}
}