We show the exact asymptotic behaviour near the boundary for the classical solution to the Dirichler problem
where is a bounded domain with smooth boundary in . We use the Karamata regular varying theory, a perturbed argument, and constructing comparison functions.
Submitted December 23, 2005. Published August 18, 2006.
Math Subject Classifications: 35J65, 35B05, 35O75, 35R05.
Key Words: Semilinear elliptic equations; Dirichlet problem; singularity; nonlinear convection terms; Karamata regular variation theory; unique solution; exact asymptotic behaviour.
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| Zhijun Zhang |
Department of Mathematics and Informational Science
Yantai University, Yantai, Shandong, 264005, China
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