Regularity of the Dirichlet Problem for the Non-degenerate Complex Quotient Equations-Reference-Cited by-同舟云学术

Regularity of the Dirichlet Problem for the Non-degenerate Complex Quotient Equations

Published:2020-04-30 Issue:23 Volume:2021 Page:17673-17694
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Zhang Qiqi¹

Affiliation:

1. College of Mathematics and Informatics, Fujian Normal University, Fuzhou 350100, China

Abstract

Abstract We study the solvability for the Dirichlet problem of a class of fully nonlinear elliptic equations over complex domains in $\textbf{C}^n$. The equations are in the form of the linear combinations of the elementary symmetric functions of the Hessian matrix of the unknown functions, which include the complex Hessian equations and quotient equations as special cases.

Funder

National Natural Science Foundation of China

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2021/23/17673/42309384/rnaa100.pdf

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