Let be a bounded smooth domain. We investigate the effect of the mean curvature of the boundary in the behaviour of the solution to the homogeneous Dirichlet boundary value problem for the singular semilinear equation . Under appropriate growth conditions on as approaches zero, we find an asymptotic expansion up to the second order of the solution in terms of the distance from to the boundary .
Submitted June 17, 2009. Published July 30, 2009.
Math Subject Classifications: 35B40, 35B05, 35J25.
Key Words: Elliptic problems; singular equations; second order boundary approximation.
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| Claudia Anedda |
Dipartimento di Matematica e Informatica
Universitá di Cagliari
Via Ospedale 72, 09124 Cagliari, Italy
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