On the regularity of the complex Hessian equation
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 $m$Hessian measure that belongs to $L^q$, for $q\leq\frac nm$.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.02620
 Bibcode:
 2021arXiv211002620A
 Keywords:

 Mathematics  Complex Variables;
 Mathematics  Analysis of PDEs;
 Mathematics  Differential Geometry;
 Primary 32U05;
 31C45;
 35B35;
 Secondary 32Q26;
 53C55;
 35J60