The complex Hessian equation with infinite Dirichlet boundary value-Reference-Cited by-同舟云学术

The complex Hessian equation with infinite Dirichlet boundary value

Published:2008-02-18 Issue:6 Volume:136 Page:2103-2111
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Xiang Ni,Yang Xiao-Ping

Abstract

The existence and nonexistence of the Γ \Gamma -subharmonic solutions for the complex Hessian equations with infinite Dirichlet boundary value are proved in the certain bounded domain in C n 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2008-136-06/S0002-9939-08-09354-4/S0002-9939-08-09354-4.pdf

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