Claudia Anedda, Giovanni Porru
Abstract:
Let
be a bounded smooth domain.
We investigate the effect of the mean curvature of the boundary
on the behaviour of the solution to the homogeneous
Dirichlet boundary value problem for the equation
.
Under appropriate growth conditions on
as t approaches zero,
we find asymptotic expansions up to the second order of the solution
in terms of the distance from x to the boundary
.
Submitted January 10, 2011. Published April 13, 2011.
Math Subject Classifications: 35B40, 35J67.
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 email: canedda@unica.it | |
Giovanni Porru Dipartimento di Matematica e Informatica Universitá di Cagliari Via Ospedale 72, 09124 Cagliari, Italy email: porru@unica.it |
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