Volume 54, Issue 2
Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds

Weimin Sheng & Jiaxiang Wang

J. Math. Study, 54 (2021), pp. 171-185.

Published online: 2021-02

Export citation
  • 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.

  • AMS Subject Headings

32W20, 35K55, 53C44

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

weimins@zju.edu.cn (Weimin Sheng)

wangjx_manifold@126.com (Jiaxiang Wang)

  • BibTex
  • RIS
  • TXT
@Article{JMS-54-171, author = {Sheng , Weimin and Wang , Jiaxiang}, title = {Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds}, journal = {Journal of Mathematical Study}, year = {2021}, volume = {54}, number = {2}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v54n2.21.04}, url = {http://global-sci.org/intro/article_detail/jms/18615.html} }
TY - JOUR T1 - Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds AU - Sheng , Weimin AU - Wang , Jiaxiang JO - Journal of Mathematical Study VL - 2 SP - 171 EP - 185 PY - 2021 DA - 2021/02 SN - 54 DO - http://doi.org/10.4208/jms.v54n2.21.04 UR - https://global-sci.org/intro/article_detail/jms/18615.html KW - Complex Hessian equation, regularity of weak solutions, pluripotential theory, parabolic flows. AB -

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.

Weimin Sheng & Jiaxiang Wang. (2021). Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds. Journal of Mathematical Study. 54 (2). 171-185. doi:10.4208/jms.v54n2.21.04
Copy to clipboard
The citation has been copied to your clipboard