Boundary Value Problems volume 2006, Article number: 75674 (2006)
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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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.
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