Open Access

The exact asymptotic behaviour of the unique solution to a singular Dirichlet problem

Boundary Value Problems20062006:75674

DOI: 10.1155/BVP/2006/75674

Received: 23 September 2005

Accepted: 15 November 2005

Published: 23 May 2006

Abstract

By Karamata regular variation theory, we show the existence and exact asymptotic behaviour of the unique classical solution near the boundary to a singular Dirichlet problem , , , , where is a bounded domain with smooth boundary in , , , for each and some ; and for some , which is nonnegative on and may be unbounded or singular on the boundary.

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Authors’ Affiliations

(1)
Department of Mathematics and Informational Science, Yantai University
(2)
College of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University

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Copyright

© Z. Zhang and J. Yu 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.