Geodesic
On the boundary values of solutions of second-order elliptic equations
Sbornik. Mathematics, Tome 29 (1976) no. 1, pp. 3-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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Necessary and sufficient conditions are established under which a solution of an elliptic equation in a ball has a limit in the mean on the boundary sphere. Bibliography: 3 titles. 
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V. P. Mikhailov. On the boundary values of solutions of second-order elliptic equations. Sbornik. Mathematics, Tome 29 (1976) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/SM_1976_29_1_a1/

[1] V. P. Mikhailov, “O granichnykh znacheniyakh reshenii ellipticheskikh uravnenii”, DAN SSSR, 226:6 (1976)

[2] A. Zigmund, Trigonometricheskie ryady, t. 2, izd-vo «Mir», Moskva, 1965 | MR

[3] S. V. Uspenskii, “O teoremakh vlozheniya dlya obobschennykh klassov $W_p^l$ Soboleva”, Sib. matem. zh., III:3 (1962), 418–445 | MR