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

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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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Correspondence to Zhijun Zhang.

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Keywords

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