E. V. Zhuzhoma, V. S. Medvedev, “On some problem of Kaplan”, Trudy SVMO, 2008, Volume 10, Number 2,Pages <nobr>88

In Middle Volga Mathematical Society

On some problem of Kaplan

E. V. Zhuzhoma^a, V. S. Medvedev^b

^a Nizhny Novgorod State Pedagogical University
^b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod

Abstract: In this paper we show that there are countable family of topologicaly nonequivalent paraboloc foliations. This result give partial solution of the problem posed by W. Kaplan in 1948.

Keywords: Parabolic foliation, harmonic function.

UDC: 517.917+513.9

Received: 30.09.2008