The complex Hessian equation with infinite Dirichlet boundary value
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- by Ni Xiang and Xiao-Ping Yang PDF
- Proc. Amer. Math. Soc. 136 (2008), 2103-2111 Request permission
Abstract:
The existence and nonexistence of the $\Gamma$-subharmonic solutions for the complex Hessian equations with infinite Dirichlet boundary value are proved in the certain bounded domain in $C^n$. We calculate the k-Hessian of the radially symmetric function and use radial functions to construct various barrier functions in this paper. Moreover, it is shown that the growth rate conditions are nearly optimal.References
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Additional Information
- Ni Xiang
- Affiliation: School of Science, Nanjing University of Science & Technology, Nanjing, People’s Republic of China 210094
- Email: nixiang_810715@yahoo.com.cn
- Xiao-Ping Yang
- Affiliation: School of Science, Nanjing University of Science & Technology, Nanjing, People’s Republic of China 210094
- Email: xpyang@mail.njust.edu.au
- Received by editor(s): March 21, 2007
- Published electronically: February 18, 2008
- Additional Notes: The first author was supported in part by the National Natural Science Foundation of Jiangsu Province #BK2006209.
- Communicated by: Matthew J. Gursky
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 2103-2111
- MSC (2000): Primary 32A05, 35J60
- DOI: https://doi.org/10.1090/S0002-9939-08-09354-4
- MathSciNet review: 2383516