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On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with a Lyapunov boundary

I. M. Petrushko


Abstract: 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.

UDC: 517.9

MSC: 35J67

Received: 06.04.1982

 English version: Mathematics of the USSR-Sbornik, 1984, 48:2, 565–585

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