Geodesic
The structure of compact sets generating normal domains and removable singularities for the space~$L_p^1(D)$
Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 405-418

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A study is made of the properties of $p$-normal domains in $R^n$ ($1$), which will be minimal in the Köbe sense or normal in the Grötzsch sense when $n=p=2$. Descriptions are obtained of removable singularities for the space $L_p^1(D)$ and for compact sets generating $p$-normal domains, in terms of the theory of contingencies and $(n-1)$-dimensional bi-Lipschitz $NC_p$-compact sets. 
@article{SM_1992_71_2_a8,
     author = {V. A. Shlyk},
     title = {The structure of compact sets generating normal domains and removable singularities for the space~$L_p^1(D)$},
     journal = {Sbornik. Mathematics},
     pages = {405--418},
     publisher = {mathdoc},
     volume = {71},
     number = {2},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_71_2_a8/}
}
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V. A. Shlyk. The structure of compact sets generating normal domains and removable singularities for the space~$L_p^1(D)$. Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 405-418. http://geodesic.mathdoc.fr/item/SM_1992_71_2_a8/