The smoothing of $m$-subharmonic functions

Abstract

We prove Richberg type theorem for $m$-subharmonic function. The main tool is the complex Hessian equation for which we obtain the existence of the unique smooth solution in strictly pseudoconvex domains.

References in corpus (2)

• Viscosity solutions to complex Hessian equations
• Monge-Ampère operator on four dimensional almost complex manifolds

Cited by in corpus (2)

• The Hölder continuous subsolution theorem for complex Hessian equations
• The Continuous Subsolution Problem for Complex Hessian Equations