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 730000, China
email: firstname.lastname@example.org, Phone: +8618954556896
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