Geodesic
Second-order boundary estimates for solutions to singular elliptic equations in borderline cases
Electronic journal of differential equations, Tome 2011 (2011)
Let $\Omega\subset R^N$ be a bounded smooth domain. We investigate the effect of the mean curvature of the boundary $\partial\Omega$ on the behaviour of the solution to the homogeneous Dirichlet boundary value problem for the equation $\Delta u+f(u)=0$. Under appropriate growth conditions on $f(t)$ 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 $\partial\Omega$.
Classification : 35B40, 35J67
Keywords: elliptic problems, singular equations, second order boundary approximation 
@article{EJDE_2011__2011__a73,
     author = {Anedda,  Claudia and Porru,  Giovanni},
     title = {Second-order boundary estimates for solutions to singular elliptic equations in borderline cases},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1215.35074},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a73/}
}
TY  - JOUR
AU  - Anedda,  Claudia
AU  - Porru,  Giovanni
TI  - Second-order boundary estimates for solutions to singular elliptic equations in borderline cases
JO  - Electronic journal of differential equations
PY  - 2011
VL  - 2011
UR  - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a73/
LA  - en
ID  - EJDE_2011__2011__a73
ER  - 
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%A Anedda,  Claudia
%A Porru,  Giovanni
%T Second-order boundary estimates for solutions to singular elliptic equations in borderline cases
%J Electronic journal of differential equations
%D 2011
%V 2011
%U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a73/
%G en
%F EJDE_2011__2011__a73
Anedda,  Claudia; Porru,  Giovanni. Second-order boundary estimates for solutions to singular elliptic equations in borderline cases. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a73/