Continuity of solutions to complex Hessian equations via the Dinew–Kołodziej estimate
Year: 2025
Type: article
Abstract: This study extends the celebrated volume-capacity estimates of Dinew and Kołodziej, providing a foundation for examining the regularity of solutions to boundary value problems for complex Hessian equations. By integrating the techniques established by Dinew and Kołodziej and incorporating recent advances by Charabati and Zeriahi, we demonstrate the continuity of the solutions.
Source: Annales Fennici Mathematici
DOI: 10.54330/afm.160119
Authors: Per Åhag, Rafał Czyż
Institutions: Umeå University, Jagiellonian University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408932649