On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with a~Lyapunov boundary
Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 565-585

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Necessary and sufficient conditions are established for the existence of limits in the $\mathscr L_p$ sense, $p>1$, on the boundary of a domain, of solutions of second order elliptic equations in domains with Lyapunov boundaries. Bibliography: 8 titles.
@article{SM_1984_48_2_a18,
     author = {I. M. Petrushko},
     title = {On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with {a~Lyapunov} boundary},
     journal = {Sbornik. Mathematics},
     pages = {565--585},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_48_2_a18/}
}
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I. M. Petrushko. On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with a~Lyapunov boundary. Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 565-585. http://geodesic.mathdoc.fr/item/SM_1984_48_2_a18/