Haitao Wan
Abstract:
In this article, we consider the problem
with
,
in a smooth bounded domain
of
.
The weight functions
belong to
satisfying
,
,
,
which may vanish or
be singular on the boundary.
satisfies
. Our results
include the existence, uniqueness and the exact boundary asymptotic
behavior and global asymptotic behavior of the solution.
Submitted December 9, 2014. Published March 6, 2015.
Math Subject Classifications: 35A01, 35B40, 35J25.
Key Words: Singular Dirichlet problem; Karamata regular variation theory;
convection term; boundary asymptotic behavior; global asymptotic behavior.
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Haitao Wan School of Mathematics and Statistics Lanzhou University Lanzhou 730000, China email: wht200805@163.com, Phone: +8618954556896 |
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