Bo Li, Zhijun Zhang
In this article we analyze the exact boundary behavior of solutions to the singular nonlinear Dirichlet problem
where is a bounded domain with smooth boundary in , , , , , , is decreasing on for some , for some , is positive in , but may be vanishing or singular on the boundary. We show that does not affect the first expansion of classical solutions near the boundary.
Submitted December 3, 2014. Published January 20, 2015.
Math Subject Classifications: 35J65, 35B05, 35J25, 60J50.
Key Words: Semilinear elliptic equation; singular Dirichlet problem; nonlinear convection term; classical solution; boundary behavior.
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| Bo Li |
School of mathematics and statistics
Lanzhou 730000, Gansu, China
| Zhijun Zhang |
School of Mathematics and Information Science
Yantai 264005, Shandong, China
email: email@example.com, firstname.lastname@example.org
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