A criterion for the regularity of the infinitely distant point for the Zaremba problem in a half-cylinder (in Russian)
Tahir M. Kerimov, Vladimir Gilelevich Maz'ya, A. A. Novruzov · Zeitschrift für Analysis und ihre Anwendungen · 1988
The asymptotic behaviour at infinity of solutions to the Zaremba problem for the Laplace operator in a half-cylinder is studied. Pointwise estimates for solutions, the Green function and the harmonic measure are obtained in terms of the Wiener capacity. The main result is a necessary and sufficient condition for regularity of a point at infinity.