Geodesic
On the fusion problem for degenerate elliptic equations II
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 1-6.

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Let $F$ be a relatively closed subset of a Euclidean domain $\Omega$. We investigate when solutions $u$ to certain elliptic equations on $\Omega\setminus F$ are restrictions of solutions on all of $\Omega$. Specifically, we show that if $\partial F$ is not too large, and $u$ has a suitable decay rate near $F$, then $u$ can be so extended.
Classification : 28A78, 35J60, 35J70
Keywords: $\Cal A$-harmonic function; Hausdorff measure; Fusion problem 
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     title = {On the fusion problem for degenerate elliptic equations {II}},
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Buckley, Stephen M.; Koskela, Pekka. On the fusion problem for degenerate elliptic equations II. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 1, pp. 1-6. http://geodesic.mathdoc.fr/item/CMUC_1999__40_1_a0/