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

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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.

Keywords:

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

10.4208/jms.v54n2.21.04

How to Cite

Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds. (2021). Journal of Mathematical Study, 54(2), 171-185. https://doi.org/10.4208/jms.v54n2.21.04