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

Boundary Value Problems volume 2006, Article number: 75674 (2006) Cite this article

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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Affiliations

  1. Department of Mathematics and Informational Science, Yantai University, Yantai, Shandong, 264005, China

    Zhijun Zhang

  2. College of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu, 730070, China

    Jianning Yu

Authors
  1. Zhijun Zhang
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  2. Jianning Yu
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Correspondence to Zhijun Zhang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zhang, Z., Yu, J. The exact asymptotic behaviour of the unique solution to a singular Dirichlet problem. Bound Value Probl 2006, 75674 (2006). https://doi.org/10.1155/BVP/2006/75674

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  • DOI: https://doi.org/10.1155/BVP/2006/75674

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Unique Solution
  • Ordinary Differential Equation
  • Asymptotic Behaviour