Zhijun Zhang
Abstract:
By a perturbation method and constructing comparison functions,
we show the exact asymptotic behaviour of solutions to
the semilinear elliptic problem
where
is a bounded domain in
with smooth
boundary,
,
,
,
is increasing on
,
and
is non-negative non-trivial in
,
which may be singular or vanishing on the boundary.
Submitted February 5, 2006. Published May 20, 2006.
Math Subject Classifications: 35J60, 35B25, 35B50, 35R05.
Key Words: Semilinear elliptic equations; large solutions;
asymptotic behaviour.
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Zhijun Zhang Department of Mathematics and Information Science Yantai University, Yantai, Shandong, 264005, China email: zhangzj@ytu.edu.cn |
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