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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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Correspondence to Zhijun Zhang.

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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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Keywords

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