Author:
Zaway Mohamed,Hbil Jawhar
Abstract
UDC 517.5
We study the existence of a solution to a general type of complex Hessian equation on some Cegrell classes. For a given measure
μ
defined on an
m
-hyperconvex domain
Ω
⊂
ℂ
n
,
under suitable conditions, we prove that the equation
χ
(
.
)
H
m
(
.
)
=
μ
has a solution that belongs to the class
ℰ
m
,
χ
(
Ω
)
.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science
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