Séminaire de Géométrie Complexe

Hölder continuity for solutions of the complex Hessian type equation

par Said Asserda (Ibn Tofail University (Kénitra, Maroc))

Europe/Paris
Description

We prove the Hölder continuity for the Hessian equation on a m-hyperconvex domain of m-subharmonic type k. As an application we prove the existence and investigate the Hölder continuity of solutions to the Dirichlet problem of the complex Hessian type equation on a bounded strictly m-pseudoconvex domain in .