ON BOUNDARY VALUES IN $ \mathscr{L}_p$, $ p>1$, OF SOLUTIONS OF ELLIPTIC EQUATIONS IN DOMAINS WITH A LYAPUNOV BOUNDARY
I M Petrushko · Mathematics of the USSR-Sbornik · 1984
Necessary and sufficient conditions are established for the existence of limits in the sense, 1$ SRC=http://ej.iop.org/images/0025-5734/48/2/A19/toc_tex_sm_2693_img2.gif/>, on the boundary of a domain, of solutions of second order elliptic equations in domains with Lyapunov boundaries.Bibliography: 8 titles.