Geodesic
Removable singularities of solutions of second-order divergence-form elliptic equations
Matematičeskie zametki, Tome 77 (2005) no. 3, pp. 424-433

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Let $L$ be a uniformly elliptic linear second-order differential operator in divergence form with bounded measurable coefficients in a bounded domain $G\subset\mathbb R^n$ $(n\geqslant2)$. In this paper, we introduce subclasses of the Sobolev class $W^{1,2}(G)_{\text{loc}}$ containing generalized solutions of the equation $Lu=0$ such that the closed sets of nonisolated removable singular points for such solutions can be described completely in terms of Hausdorff measures. 
@article{MZM_2005_77_3_a8,
     author = {A. V. Pokrovskii},
     title = {Removable singularities of solutions of second-order divergence-form elliptic equations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {424--433},
     publisher = {mathdoc},
     volume = {77},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_3_a8/}
}
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A. V. Pokrovskii. Removable singularities of solutions of second-order divergence-form elliptic equations. Matematičeskie zametki, Tome 77 (2005) no. 3, pp. 424-433. http://geodesic.mathdoc.fr/item/MZM_2005_77_3_a8/