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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)
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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Keywords
- Differential Equation
- Partial Differential Equation
- Unique Solution
- Ordinary Differential Equation
- Asymptotic Behaviour
