Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds

Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds

Year:    2021

Author:    Weimin Sheng, Jiaxiang Wang

Journal of Mathematical Study, Vol. 54 (2021), Iss. 2 : pp. 171–185

Abstract

We prove the smoothness of weak solutions to a class of complex Hessian equations on closed Kähler manifolds, by use of the smoothing property of the corresponding gradient flow.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v54n2.21.04

Journal of Mathematical Study, Vol. 54 (2021), Iss. 2 : pp. 171–185

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Complex Hessian equation regularity of weak solutions pluripotential theory parabolic flows.

Author Details

Weimin Sheng

Jiaxiang Wang