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

Authors

  • Weimin Sheng School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
  • Jiaxiang Wang School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China

DOI:

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

Keywords:

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

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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Published

2021-02-01

Issue

Vol. 54 No. 2 (2021)

Section

Articles